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Finding the Third Proportional to 684,924 and 1,486,563

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Solution

The third proportional to 684,924 and 1,486,563 is: 3,226,444.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,924 : 1,486,563 = 1,486,563 : x
  2. Step 2: Convert to fraction form
    684,924/1,486,563 = 1,486,563/x
  3. Step 3: Cross multiply
    684,924x = 1,486,563 × 1,486,563
  4. Step 4: Simplify right side
    684,924x = 2,209,869,552,969
  5. Step 5: Solve for x
    x = 2,209,869,552,969/684,924
  6. Step 6: Final answer
    x = 3,226,444.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.