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Finding the Third Proportional to 688,049 and 1,554,480

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Solution

The third proportional to 688,049 and 1,554,480 is: 3,511,970.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,049 : 1,554,480 = 1,554,480 : x
  2. Step 2: Convert to fraction form
    688,049/1,554,480 = 1,554,480/x
  3. Step 3: Cross multiply
    688,049x = 1,554,480 × 1,554,480
  4. Step 4: Simplify right side
    688,049x = 2,416,408,070,400
  5. Step 5: Solve for x
    x = 2,416,408,070,400/688,049
  6. Step 6: Final answer
    x = 3,511,970.91

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.