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Finding the Third Proportional to 763,106 and 1,657,540

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Solution

The third proportional to 763,106 and 1,657,540 is: 3,600,337.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,106 : 1,657,540 = 1,657,540 : x
  2. Step 2: Convert to fraction form
    763,106/1,657,540 = 1,657,540/x
  3. Step 3: Cross multiply
    763,106x = 1,657,540 × 1,657,540
  4. Step 4: Simplify right side
    763,106x = 2,747,438,851,600
  5. Step 5: Solve for x
    x = 2,747,438,851,600/763,106
  6. Step 6: Final answer
    x = 3,600,337.11

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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.