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Finding the Third Proportional to 457,776 and 994,359

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Solution

The third proportional to 457,776 and 994,359 is: 2,159,898.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,776 : 994,359 = 994,359 : x
  2. Step 2: Convert to fraction form
    457,776/994,359 = 994,359/x
  3. Step 3: Cross multiply
    457,776x = 994,359 × 994,359
  4. Step 4: Simplify right side
    457,776x = 988,749,820,881
  5. Step 5: Solve for x
    x = 988,749,820,881/457,776
  6. Step 6: Final answer
    x = 2,159,898.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.