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Finding the Third Proportional to 727,371 and 1,580,646

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Solution

The third proportional to 727,371 and 1,580,646 is: 3,434,893.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,371 : 1,580,646 = 1,580,646 : x
  2. Step 2: Convert to fraction form
    727,371/1,580,646 = 1,580,646/x
  3. Step 3: Cross multiply
    727,371x = 1,580,646 × 1,580,646
  4. Step 4: Simplify right side
    727,371x = 2,498,441,777,316
  5. Step 5: Solve for x
    x = 2,498,441,777,316/727,371
  6. Step 6: Final answer
    x = 3,434,893.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.