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Finding the Third Proportional to 653,656 and 1,400,624

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Solution

The third proportional to 653,656 and 1,400,624 is: 3,001,192.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,656 : 1,400,624 = 1,400,624 : x
  2. Step 2: Convert to fraction form
    653,656/1,400,624 = 1,400,624/x
  3. Step 3: Cross multiply
    653,656x = 1,400,624 × 1,400,624
  4. Step 4: Simplify right side
    653,656x = 1,961,747,589,376
  5. Step 5: Solve for x
    x = 1,961,747,589,376/653,656
  6. Step 6: Final answer
    x = 3,001,192.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.