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Finding the Third Proportional to 709,830 and 1,063,651.50

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Solution

The third proportional to 709,830 and 1,063,651.50 is: 1,593,838.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,830 : 1,063,651.50 = 1,063,651.50 : x
  2. Step 2: Convert to fraction form
    709,830/1,063,651.50 = 1,063,651.50/x
  3. Step 3: Cross multiply
    709,830x = 1,063,651.50 × 1,063,651.50
  4. Step 4: Simplify right side
    709,830x = 1,131,354,513,452.25
  5. Step 5: Solve for x
    x = 1,131,354,513,452.25/709,830
  6. Step 6: Final answer
    x = 1,593,838.68

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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.