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Finding the Third Proportional to 1,664,250 and 3,581,342

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Solution

The third proportional to 1,664,250 and 3,581,342 is: 7,706,781.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664,250 : 3,581,342 = 3,581,342 : x
  2. Step 2: Convert to fraction form
    1,664,250/3,581,342 = 3,581,342/x
  3. Step 3: Cross multiply
    1,664,250x = 3,581,342 × 3,581,342
  4. Step 4: Simplify right side
    1,664,250x = 12,826,010,520,964
  5. Step 5: Solve for x
    x = 12,826,010,520,964/1,664,250
  6. Step 6: Final answer
    x = 7,706,781.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.