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Finding the Third Proportional to 750,711 and 1,563,549

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Solution

The third proportional to 750,711 and 1,563,549 is: 3,256,493.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,711 : 1,563,549 = 1,563,549 : x
  2. Step 2: Convert to fraction form
    750,711/1,563,549 = 1,563,549/x
  3. Step 3: Cross multiply
    750,711x = 1,563,549 × 1,563,549
  4. Step 4: Simplify right side
    750,711x = 2,444,685,475,401
  5. Step 5: Solve for x
    x = 2,444,685,475,401/750,711
  6. Step 6: Final answer
    x = 3,256,493.48

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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.