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Finding the Third Proportional to 491,424.47 and 1,051,159.78

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Solution

The third proportional to 491,424.47 and 1,051,159.78 is: 2,248,436.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,424.47 : 1,051,159.78 = 1,051,159.78 : x
  2. Step 2: Convert to fraction form
    491,424.47/1,051,159.78 = 1,051,159.78/x
  3. Step 3: Cross multiply
    491,424.47x = 1,051,159.78 × 1,051,159.78
  4. Step 4: Simplify right side
    491,424.47x = 1,104,936,885,717.55
  5. Step 5: Solve for x
    x = 1,104,936,885,717.55/491,424.47
  6. Step 6: Final answer
    x = 2,248,436.85

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.