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Finding the Third Proportional to 456,447 and 926,718

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Solution

The third proportional to 456,447 and 926,718 is: 1,881,502.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,447 : 926,718 = 926,718 : x
  2. Step 2: Convert to fraction form
    456,447/926,718 = 926,718/x
  3. Step 3: Cross multiply
    456,447x = 926,718 × 926,718
  4. Step 4: Simplify right side
    456,447x = 858,806,251,524
  5. Step 5: Solve for x
    x = 858,806,251,524/456,447
  6. Step 6: Final answer
    x = 1,881,502.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.