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Finding the Third Proportional to 633,466 and 1,319,348

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Solution

The third proportional to 633,466 and 1,319,348 is: 2,747,865.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,466 : 1,319,348 = 1,319,348 : x
  2. Step 2: Convert to fraction form
    633,466/1,319,348 = 1,319,348/x
  3. Step 3: Cross multiply
    633,466x = 1,319,348 × 1,319,348
  4. Step 4: Simplify right side
    633,466x = 1,740,679,145,104
  5. Step 5: Solve for x
    x = 1,740,679,145,104/633,466
  6. Step 6: Final answer
    x = 2,747,865.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.