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Finding the Third Proportional to 491,410.13 and 1,051,135.31

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Solution

The third proportional to 491,410.13 and 1,051,135.31 is: 2,248,397.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,410.13 : 1,051,135.31 = 1,051,135.31 : x
  2. Step 2: Convert to fraction form
    491,410.13/1,051,135.31 = 1,051,135.31/x
  3. Step 3: Cross multiply
    491,410.13x = 1,051,135.31 × 1,051,135.31
  4. Step 4: Simplify right side
    491,410.13x = 1,104,885,445,184.47
  5. Step 5: Solve for x
    x = 1,104,885,445,184.47/491,410.13
  6. Step 6: Final answer
    x = 2,248,397.80

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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.