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Finding the Third Proportional to 1,169,624 and 2,559,385

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Solution

The third proportional to 1,169,624 and 2,559,385 is: 5,600,476.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169,624 : 2,559,385 = 2,559,385 : x
  2. Step 2: Convert to fraction form
    1,169,624/2,559,385 = 2,559,385/x
  3. Step 3: Cross multiply
    1,169,624x = 2,559,385 × 2,559,385
  4. Step 4: Simplify right side
    1,169,624x = 6,550,451,578,225
  5. Step 5: Solve for x
    x = 6,550,451,578,225/1,169,624
  6. Step 6: Final answer
    x = 5,600,476.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.