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Finding the Third Proportional to 707,898 and 1,528,493

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Solution

The third proportional to 707,898 and 1,528,493 is: 3,300,321.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,898 : 1,528,493 = 1,528,493 : x
  2. Step 2: Convert to fraction form
    707,898/1,528,493 = 1,528,493/x
  3. Step 3: Cross multiply
    707,898x = 1,528,493 × 1,528,493
  4. Step 4: Simplify right side
    707,898x = 2,336,290,851,049
  5. Step 5: Solve for x
    x = 2,336,290,851,049/707,898
  6. Step 6: Final answer
    x = 3,300,321.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.