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Finding the Third Proportional to 498,987 and 1,069,416

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Solution

The third proportional to 498,987 and 1,069,416 is: 2,291,944.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,987 : 1,069,416 = 1,069,416 : x
  2. Step 2: Convert to fraction form
    498,987/1,069,416 = 1,069,416/x
  3. Step 3: Cross multiply
    498,987x = 1,069,416 × 1,069,416
  4. Step 4: Simplify right side
    498,987x = 1,143,650,581,056
  5. Step 5: Solve for x
    x = 1,143,650,581,056/498,987
  6. Step 6: Final answer
    x = 2,291,944.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.