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Finding the Third Proportional to 709,515 and 1,071,648

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Solution

The third proportional to 709,515 and 1,071,648 is: 1,618,611.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,515 : 1,071,648 = 1,071,648 : x
  2. Step 2: Convert to fraction form
    709,515/1,071,648 = 1,071,648/x
  3. Step 3: Cross multiply
    709,515x = 1,071,648 × 1,071,648
  4. Step 4: Simplify right side
    709,515x = 1,148,429,435,904
  5. Step 5: Solve for x
    x = 1,148,429,435,904/709,515
  6. Step 6: Final answer
    x = 1,618,611.92

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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.