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Finding the Third Proportional to 684,681 and 1,477,617

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Solution

The third proportional to 684,681 and 1,477,617 is: 3,188,860.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,681 : 1,477,617 = 1,477,617 : x
  2. Step 2: Convert to fraction form
    684,681/1,477,617 = 1,477,617/x
  3. Step 3: Cross multiply
    684,681x = 1,477,617 × 1,477,617
  4. Step 4: Simplify right side
    684,681x = 2,183,351,998,689
  5. Step 5: Solve for x
    x = 2,183,351,998,689/684,681
  6. Step 6: Final answer
    x = 3,188,860.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.