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Finding the Third Proportional to 807,734 and 1,267,203

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Solution

The third proportional to 807,734 and 1,267,203 is: 1,988,034.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,734 : 1,267,203 = 1,267,203 : x
  2. Step 2: Convert to fraction form
    807,734/1,267,203 = 1,267,203/x
  3. Step 3: Cross multiply
    807,734x = 1,267,203 × 1,267,203
  4. Step 4: Simplify right side
    807,734x = 1,605,803,443,209
  5. Step 5: Solve for x
    x = 1,605,803,443,209/807,734
  6. Step 6: Final answer
    x = 1,988,034.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.