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Finding the Third Proportional to 1,036,225 and 1,598,561

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Solution

The third proportional to 1,036,225 and 1,598,561 is: 2,466,064.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036,225 : 1,598,561 = 1,598,561 : x
  2. Step 2: Convert to fraction form
    1,036,225/1,598,561 = 1,598,561/x
  3. Step 3: Cross multiply
    1,036,225x = 1,598,561 × 1,598,561
  4. Step 4: Simplify right side
    1,036,225x = 2,555,397,270,721
  5. Step 5: Solve for x
    x = 2,555,397,270,721/1,036,225
  6. Step 6: Final answer
    x = 2,466,064.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.