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Finding the Third Proportional to 709,425 and 1,071,501.75

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Solution

The third proportional to 709,425 and 1,071,501.75 is: 1,618,375.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,425 : 1,071,501.75 = 1,071,501.75 : x
  2. Step 2: Convert to fraction form
    709,425/1,071,501.75 = 1,071,501.75/x
  3. Step 3: Cross multiply
    709,425x = 1,071,501.75 × 1,071,501.75
  4. Step 4: Simplify right side
    709,425x = 1,148,116,000,253.06
  5. Step 5: Solve for x
    x = 1,148,116,000,253.06/709,425
  6. Step 6: Final answer
    x = 1,618,375.45

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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.