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Finding the Third Proportional to 730,638 and 1,146,438

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Solution

The third proportional to 730,638 and 1,146,438 is: 1,798,866.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,638 : 1,146,438 = 1,146,438 : x
  2. Step 2: Convert to fraction form
    730,638/1,146,438 = 1,146,438/x
  3. Step 3: Cross multiply
    730,638x = 1,146,438 × 1,146,438
  4. Step 4: Simplify right side
    730,638x = 1,314,320,087,844
  5. Step 5: Solve for x
    x = 1,314,320,087,844/730,638
  6. Step 6: Final answer
    x = 1,798,866.32

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.