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Finding the Third Proportional to 587,506 and 1,288,494

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Solution

The third proportional to 587,506 and 1,288,494 is: 2,825,872.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,506 : 1,288,494 = 1,288,494 : x
  2. Step 2: Convert to fraction form
    587,506/1,288,494 = 1,288,494/x
  3. Step 3: Cross multiply
    587,506x = 1,288,494 × 1,288,494
  4. Step 4: Simplify right side
    587,506x = 1,660,216,788,036
  5. Step 5: Solve for x
    x = 1,660,216,788,036/587,506
  6. Step 6: Final answer
    x = 2,825,872.06

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.