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Finding the Third Proportional to 1,027,432.50 and 1,636,278.75

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Solution

The third proportional to 1,027,432.50 and 1,636,278.75 is: 2,605,921.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027,432.50 : 1,636,278.75 = 1,636,278.75 : x
  2. Step 2: Convert to fraction form
    1,027,432.50/1,636,278.75 = 1,636,278.75/x
  3. Step 3: Cross multiply
    1,027,432.50x = 1,636,278.75 × 1,636,278.75
  4. Step 4: Simplify right side
    1,027,432.50x = 2,677,408,147,701.56
  5. Step 5: Solve for x
    x = 2,677,408,147,701.56/1,027,432.50
  6. Step 6: Final answer
    x = 2,605,921.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.