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Finding the Third Proportional to 587,952 and 1,288,006.50

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Solution

The third proportional to 587,952 and 1,288,006.50 is: 2,821,592.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,952 : 1,288,006.50 = 1,288,006.50 : x
  2. Step 2: Convert to fraction form
    587,952/1,288,006.50 = 1,288,006.50/x
  3. Step 3: Cross multiply
    587,952x = 1,288,006.50 × 1,288,006.50
  4. Step 4: Simplify right side
    587,952x = 1,658,960,744,042.25
  5. Step 5: Solve for x
    x = 1,658,960,744,042.25/587,952
  6. Step 6: Final answer
    x = 2,821,592.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.