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Finding the Third Proportional to 784,640 and 1,663,452

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Solution

The third proportional to 784,640 and 1,663,452 is: 3,526,550.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,640 : 1,663,452 = 1,663,452 : x
  2. Step 2: Convert to fraction form
    784,640/1,663,452 = 1,663,452/x
  3. Step 3: Cross multiply
    784,640x = 1,663,452 × 1,663,452
  4. Step 4: Simplify right side
    784,640x = 2,767,072,556,304
  5. Step 5: Solve for x
    x = 2,767,072,556,304/784,640
  6. Step 6: Final answer
    x = 3,526,550.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.