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Finding the Third Proportional to 456,266.13 and 1,056,226.50

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Solution

The third proportional to 456,266.13 and 1,056,226.50 is: 2,445,095.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,266.13 : 1,056,226.50 = 1,056,226.50 : x
  2. Step 2: Convert to fraction form
    456,266.13/1,056,226.50 = 1,056,226.50/x
  3. Step 3: Cross multiply
    456,266.13x = 1,056,226.50 × 1,056,226.50
  4. Step 4: Simplify right side
    456,266.13x = 1,115,614,419,302.25
  5. Step 5: Solve for x
    x = 1,115,614,419,302.25/456,266.13
  6. Step 6: Final answer
    x = 2,445,095.87

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.