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Finding the Third Proportional to 676,539 and 1,486,998

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Solution

The third proportional to 676,539 and 1,486,998 is: 3,268,345.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,539 : 1,486,998 = 1,486,998 : x
  2. Step 2: Convert to fraction form
    676,539/1,486,998 = 1,486,998/x
  3. Step 3: Cross multiply
    676,539x = 1,486,998 × 1,486,998
  4. Step 4: Simplify right side
    676,539x = 2,211,163,052,004
  5. Step 5: Solve for x
    x = 2,211,163,052,004/676,539
  6. Step 6: Final answer
    x = 3,268,345.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.