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Finding the Third Proportional to 1,538,053.31 and 3,365,565.19

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Solution

The third proportional to 1,538,053.31 and 3,365,565.19 is: 7,364,523.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538,053.31 : 3,365,565.19 = 3,365,565.19 : x
  2. Step 2: Convert to fraction form
    1,538,053.31/3,365,565.19 = 3,365,565.19/x
  3. Step 3: Cross multiply
    1,538,053.31x = 3,365,565.19 × 3,365,565.19
  4. Step 4: Simplify right side
    1,538,053.31x = 11,327,029,031,311.91
  5. Step 5: Solve for x
    x = 11,327,029,031,311.91/1,538,053.31
  6. Step 6: Final answer
    x = 7,364,523.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.