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Finding the Third Proportional to 654,972 and 999,948

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Solution

The third proportional to 654,972 and 999,948 is: 1,526,624.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,972 : 999,948 = 999,948 : x
  2. Step 2: Convert to fraction form
    654,972/999,948 = 999,948/x
  3. Step 3: Cross multiply
    654,972x = 999,948 × 999,948
  4. Step 4: Simplify right side
    654,972x = 999,896,002,704
  5. Step 5: Solve for x
    x = 999,896,002,704/654,972
  6. Step 6: Final answer
    x = 1,526,624.04

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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.