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Finding the Third Proportional to 469,266,254.72 and 709,938,986.34

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Solution

The third proportional to 469,266,254.72 and 709,938,986.34 is: 1,074,045,617.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,266,254.72 : 709,938,986.34 = 709,938,986.34 : x
  2. Step 2: Convert to fraction form
    469,266,254.72/709,938,986.34 = 709,938,986.34/x
  3. Step 3: Cross multiply
    469,266,254.72x = 709,938,986.34 × 709,938,986.34
  4. Step 4: Simplify right side
    469,266,254.72x = 504,013,364,330,791,232
  5. Step 5: Solve for x
    x = 504,013,364,330,791,232/469,266,254.72
  6. Step 6: Final answer
    x = 1,074,045,617.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.