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Finding the Third Proportional to 1,266,381 and 2,709,902.25

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Solution

The third proportional to 1,266,381 and 2,709,902.25 is: 5,798,863.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266,381 : 2,709,902.25 = 2,709,902.25 : x
  2. Step 2: Convert to fraction form
    1,266,381/2,709,902.25 = 2,709,902.25/x
  3. Step 3: Cross multiply
    1,266,381x = 2,709,902.25 × 2,709,902.25
  4. Step 4: Simplify right side
    1,266,381x = 7,343,570,204,555.06
  5. Step 5: Solve for x
    x = 7,343,570,204,555.06/1,266,381
  6. Step 6: Final answer
    x = 5,798,863.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.