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Finding the Third Proportional to 869,184 and 1,321,559

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Solution

The third proportional to 869,184 and 1,321,559 is: 2,009,376.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,184 : 1,321,559 = 1,321,559 : x
  2. Step 2: Convert to fraction form
    869,184/1,321,559 = 1,321,559/x
  3. Step 3: Cross multiply
    869,184x = 1,321,559 × 1,321,559
  4. Step 4: Simplify right side
    869,184x = 1,746,518,190,481
  5. Step 5: Solve for x
    x = 1,746,518,190,481/869,184
  6. Step 6: Final answer
    x = 2,009,376.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.