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Finding the Third Proportional to 698,520 and 1,488,624

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Solution

The third proportional to 698,520 and 1,488,624 is: 3,172,423.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,520 : 1,488,624 = 1,488,624 : x
  2. Step 2: Convert to fraction form
    698,520/1,488,624 = 1,488,624/x
  3. Step 3: Cross multiply
    698,520x = 1,488,624 × 1,488,624
  4. Step 4: Simplify right side
    698,520x = 2,216,001,413,376
  5. Step 5: Solve for x
    x = 2,216,001,413,376/698,520
  6. Step 6: Final answer
    x = 3,172,423.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.