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Finding the Third Proportional to 779,452 and 1,671,656

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Solution

The third proportional to 779,452 and 1,671,656 is: 3,585,126.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,452 : 1,671,656 = 1,671,656 : x
  2. Step 2: Convert to fraction form
    779,452/1,671,656 = 1,671,656/x
  3. Step 3: Cross multiply
    779,452x = 1,671,656 × 1,671,656
  4. Step 4: Simplify right side
    779,452x = 2,794,433,782,336
  5. Step 5: Solve for x
    x = 2,794,433,782,336/779,452
  6. Step 6: Final answer
    x = 3,585,126.19

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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.