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Finding the Third Proportional to 1,107,032.48 and 1,807,684.38

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Solution

The third proportional to 1,107,032.48 and 1,807,684.38 is: 2,951,785.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107,032.48 : 1,807,684.38 = 1,807,684.38 : x
  2. Step 2: Convert to fraction form
    1,107,032.48/1,807,684.38 = 1,807,684.38/x
  3. Step 3: Cross multiply
    1,107,032.48x = 1,807,684.38 × 1,807,684.38
  4. Step 4: Simplify right side
    1,107,032.48x = 3,267,722,827,864.21
  5. Step 5: Solve for x
    x = 3,267,722,827,864.21/1,107,032.48
  6. Step 6: Final answer
    x = 2,951,785.85

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.