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Finding the Third Proportional to 1,357,478 and 2,680,690

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Solution

The third proportional to 1,357,478 and 2,680,690 is: 5,293,712.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357,478 : 2,680,690 = 2,680,690 : x
  2. Step 2: Convert to fraction form
    1,357,478/2,680,690 = 2,680,690/x
  3. Step 3: Cross multiply
    1,357,478x = 2,680,690 × 2,680,690
  4. Step 4: Simplify right side
    1,357,478x = 7,186,098,876,100
  5. Step 5: Solve for x
    x = 7,186,098,876,100/1,357,478
  6. Step 6: Final answer
    x = 5,293,712.96

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.