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Finding the Third Proportional to 731,616 and 1,042,988

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Solution

The third proportional to 731,616 and 1,042,988 is: 1,486,878.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,616 : 1,042,988 = 1,042,988 : x
  2. Step 2: Convert to fraction form
    731,616/1,042,988 = 1,042,988/x
  3. Step 3: Cross multiply
    731,616x = 1,042,988 × 1,042,988
  4. Step 4: Simplify right side
    731,616x = 1,087,823,968,144
  5. Step 5: Solve for x
    x = 1,087,823,968,144/731,616
  6. Step 6: Final answer
    x = 1,486,878.32

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.