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Finding the Third Proportional to 1,859,808.50 and 2,872,577.25

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Solution

The third proportional to 1,859,808.50 and 2,872,577.25 is: 4,436,854.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859,808.50 : 2,872,577.25 = 2,872,577.25 : x
  2. Step 2: Convert to fraction form
    1,859,808.50/2,872,577.25 = 2,872,577.25/x
  3. Step 3: Cross multiply
    1,859,808.50x = 2,872,577.25 × 2,872,577.25
  4. Step 4: Simplify right side
    1,859,808.50x = 8,251,700,057,217.56
  5. Step 5: Solve for x
    x = 8,251,700,057,217.56/1,859,808.50
  6. Step 6: Final answer
    x = 4,436,854.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.