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Finding the Third Proportional to 644,552 and 1,382,368

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Solution

The third proportional to 644,552 and 1,382,368 is: 2,964,758.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,552 : 1,382,368 = 1,382,368 : x
  2. Step 2: Convert to fraction form
    644,552/1,382,368 = 1,382,368/x
  3. Step 3: Cross multiply
    644,552x = 1,382,368 × 1,382,368
  4. Step 4: Simplify right side
    644,552x = 1,910,941,287,424
  5. Step 5: Solve for x
    x = 1,910,941,287,424/644,552
  6. Step 6: Final answer
    x = 2,964,758.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.