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Finding the Third Proportional to 526,527 and 1,026,809

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Solution

The third proportional to 526,527 and 1,026,809 is: 2,002,436.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,527 : 1,026,809 = 1,026,809 : x
  2. Step 2: Convert to fraction form
    526,527/1,026,809 = 1,026,809/x
  3. Step 3: Cross multiply
    526,527x = 1,026,809 × 1,026,809
  4. Step 4: Simplify right side
    526,527x = 1,054,336,722,481
  5. Step 5: Solve for x
    x = 1,054,336,722,481/526,527
  6. Step 6: Final answer
    x = 2,002,436.20

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.