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Finding the Third Proportional to 918,633 and 1,948,452

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Solution

The third proportional to 918,633 and 1,948,452 is: 4,132,733.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,633 : 1,948,452 = 1,948,452 : x
  2. Step 2: Convert to fraction form
    918,633/1,948,452 = 1,948,452/x
  3. Step 3: Cross multiply
    918,633x = 1,948,452 × 1,948,452
  4. Step 4: Simplify right side
    918,633x = 3,796,465,196,304
  5. Step 5: Solve for x
    x = 3,796,465,196,304/918,633
  6. Step 6: Final answer
    x = 4,132,733.31

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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.