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Finding the Third Proportional to 970,065 and 1,304,997.75

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Solution

The third proportional to 970,065 and 1,304,997.75 is: 1,755,572.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,065 : 1,304,997.75 = 1,304,997.75 : x
  2. Step 2: Convert to fraction form
    970,065/1,304,997.75 = 1,304,997.75/x
  3. Step 3: Cross multiply
    970,065x = 1,304,997.75 × 1,304,997.75
  4. Step 4: Simplify right side
    970,065x = 1,703,019,127,505.06
  5. Step 5: Solve for x
    x = 1,703,019,127,505.06/970,065
  6. Step 6: Final answer
    x = 1,755,572.18

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.