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Finding the Third Proportional to 488,756 and 1,036,507

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Solution

The third proportional to 488,756 and 1,036,507 is: 2,198,124.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,756 : 1,036,507 = 1,036,507 : x
  2. Step 2: Convert to fraction form
    488,756/1,036,507 = 1,036,507/x
  3. Step 3: Cross multiply
    488,756x = 1,036,507 × 1,036,507
  4. Step 4: Simplify right side
    488,756x = 1,074,346,761,049
  5. Step 5: Solve for x
    x = 1,074,346,761,049/488,756
  6. Step 6: Final answer
    x = 2,198,124.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.