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Finding the Third Proportional to 1,359,970 and 2,952,787

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Solution

The third proportional to 1,359,970 and 2,952,787 is: 6,411,134.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359,970 : 2,952,787 = 2,952,787 : x
  2. Step 2: Convert to fraction form
    1,359,970/2,952,787 = 2,952,787/x
  3. Step 3: Cross multiply
    1,359,970x = 2,952,787 × 2,952,787
  4. Step 4: Simplify right side
    1,359,970x = 8,718,951,067,369
  5. Step 5: Solve for x
    x = 8,718,951,067,369/1,359,970
  6. Step 6: Final answer
    x = 6,411,134.85

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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.