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Finding the Third Proportional to 857,421.47 and 1,864,310.71

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Solution

The third proportional to 857,421.47 and 1,864,310.71 is: 4,053,612.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,421.47 : 1,864,310.71 = 1,864,310.71 : x
  2. Step 2: Convert to fraction form
    857,421.47/1,864,310.71 = 1,864,310.71/x
  3. Step 3: Cross multiply
    857,421.47x = 1,864,310.71 × 1,864,310.71
  4. Step 4: Simplify right side
    857,421.47x = 3,475,654,434,198.66
  5. Step 5: Solve for x
    x = 3,475,654,434,198.66/857,421.47
  6. Step 6: Final answer
    x = 4,053,612.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.