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Finding the Third Proportional to 652,584 and 1,340,304

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Solution

The third proportional to 652,584 and 1,340,304 is: 2,752,771.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,584 : 1,340,304 = 1,340,304 : x
  2. Step 2: Convert to fraction form
    652,584/1,340,304 = 1,340,304/x
  3. Step 3: Cross multiply
    652,584x = 1,340,304 × 1,340,304
  4. Step 4: Simplify right side
    652,584x = 1,796,414,812,416
  5. Step 5: Solve for x
    x = 1,796,414,812,416/652,584
  6. Step 6: Final answer
    x = 2,752,771.77

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.