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Finding the Third Proportional to 709,262 and 1,064,602

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Solution

The third proportional to 709,262 and 1,064,602 is: 1,597,967.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,262 : 1,064,602 = 1,064,602 : x
  2. Step 2: Convert to fraction form
    709,262/1,064,602 = 1,064,602/x
  3. Step 3: Cross multiply
    709,262x = 1,064,602 × 1,064,602
  4. Step 4: Simplify right side
    709,262x = 1,133,377,418,404
  5. Step 5: Solve for x
    x = 1,133,377,418,404/709,262
  6. Step 6: Final answer
    x = 1,597,967.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.