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Finding the Third Proportional to 709,139 and 1,064,434

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Solution

The third proportional to 709,139 and 1,064,434 is: 1,597,739.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,139 : 1,064,434 = 1,064,434 : x
  2. Step 2: Convert to fraction form
    709,139/1,064,434 = 1,064,434/x
  3. Step 3: Cross multiply
    709,139x = 1,064,434 × 1,064,434
  4. Step 4: Simplify right side
    709,139x = 1,133,019,740,356
  5. Step 5: Solve for x
    x = 1,133,019,740,356/709,139
  6. Step 6: Final answer
    x = 1,597,739.99

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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.