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Finding the Third Proportional to 687,376 and 1,509,240

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Solution

The third proportional to 687,376 and 1,509,240 is: 3,313,769.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,376 : 1,509,240 = 1,509,240 : x
  2. Step 2: Convert to fraction form
    687,376/1,509,240 = 1,509,240/x
  3. Step 3: Cross multiply
    687,376x = 1,509,240 × 1,509,240
  4. Step 4: Simplify right side
    687,376x = 2,277,805,377,600
  5. Step 5: Solve for x
    x = 2,277,805,377,600/687,376
  6. Step 6: Final answer
    x = 3,313,769.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.