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Finding the Third Proportional to 653,496 and 999,470

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Solution

The third proportional to 653,496 and 999,470 is: 1,528,609.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,496 : 999,470 = 999,470 : x
  2. Step 2: Convert to fraction form
    653,496/999,470 = 999,470/x
  3. Step 3: Cross multiply
    653,496x = 999,470 × 999,470
  4. Step 4: Simplify right side
    653,496x = 998,940,280,900
  5. Step 5: Solve for x
    x = 998,940,280,900/653,496
  6. Step 6: Final answer
    x = 1,528,609.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.