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Finding the Third Proportional to 709,834 and 1,063,657

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Solution

The third proportional to 709,834 and 1,063,657 is: 1,593,846.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,834 : 1,063,657 = 1,063,657 : x
  2. Step 2: Convert to fraction form
    709,834/1,063,657 = 1,063,657/x
  3. Step 3: Cross multiply
    709,834x = 1,063,657 × 1,063,657
  4. Step 4: Simplify right side
    709,834x = 1,131,366,213,649
  5. Step 5: Solve for x
    x = 1,131,366,213,649/709,834
  6. Step 6: Final answer
    x = 1,593,846.19

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Why These Related Problems?

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