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Finding the Third Proportional to 687,040 and 1,090,272

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Solution

The third proportional to 687,040 and 1,090,272 is: 1,730,165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,040 : 1,090,272 = 1,090,272 : x
  2. Step 2: Convert to fraction form
    687,040/1,090,272 = 1,090,272/x
  3. Step 3: Cross multiply
    687,040x = 1,090,272 × 1,090,272
  4. Step 4: Simplify right side
    687,040x = 1,188,693,033,984
  5. Step 5: Solve for x
    x = 1,188,693,033,984/687,040
  6. Step 6: Final answer
    x = 1,730,165.69

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.