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Finding the Third Proportional to 466,776 and 999,972

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Solution

The third proportional to 466,776 and 999,972 is: 2,142,235.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,776 : 999,972 = 999,972 : x
  2. Step 2: Convert to fraction form
    466,776/999,972 = 999,972/x
  3. Step 3: Cross multiply
    466,776x = 999,972 × 999,972
  4. Step 4: Simplify right side
    466,776x = 999,944,000,784
  5. Step 5: Solve for x
    x = 999,944,000,784/466,776
  6. Step 6: Final answer
    x = 2,142,235.25

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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.