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Finding the Third Proportional to 709,748 and 1,071,996

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Solution

The third proportional to 709,748 and 1,071,996 is: 1,619,131.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,748 : 1,071,996 = 1,071,996 : x
  2. Step 2: Convert to fraction form
    709,748/1,071,996 = 1,071,996/x
  3. Step 3: Cross multiply
    709,748x = 1,071,996 × 1,071,996
  4. Step 4: Simplify right side
    709,748x = 1,149,175,424,016
  5. Step 5: Solve for x
    x = 1,149,175,424,016/709,748
  6. Step 6: Final answer
    x = 1,619,131.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.