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Finding the Third Proportional to 716,569 and 1,071,109

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Solution

The third proportional to 716,569 and 1,071,109 is: 1,601,066.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,569 : 1,071,109 = 1,071,109 : x
  2. Step 2: Convert to fraction form
    716,569/1,071,109 = 1,071,109/x
  3. Step 3: Cross multiply
    716,569x = 1,071,109 × 1,071,109
  4. Step 4: Simplify right side
    716,569x = 1,147,274,489,881
  5. Step 5: Solve for x
    x = 1,147,274,489,881/716,569
  6. Step 6: Final answer
    x = 1,601,066.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.