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Finding the Third Proportional to 731,102.63 and 1,069,579.13

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Solution

The third proportional to 731,102.63 and 1,069,579.13 is: 1,564,759.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,102.63 : 1,069,579.13 = 1,069,579.13 : x
  2. Step 2: Convert to fraction form
    731,102.63/1,069,579.13 = 1,069,579.13/x
  3. Step 3: Cross multiply
    731,102.63x = 1,069,579.13 × 1,069,579.13
  4. Step 4: Simplify right side
    731,102.63x = 1,143,999,504,635.77
  5. Step 5: Solve for x
    x = 1,143,999,504,635.77/731,102.63
  6. Step 6: Final answer
    x = 1,564,759.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.