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Finding the Third Proportional to 411,597 and 901,899

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Solution

The third proportional to 411,597 and 901,899 is: 1,976,257.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,597 : 901,899 = 901,899 : x
  2. Step 2: Convert to fraction form
    411,597/901,899 = 901,899/x
  3. Step 3: Cross multiply
    411,597x = 901,899 × 901,899
  4. Step 4: Simplify right side
    411,597x = 813,421,806,201
  5. Step 5: Solve for x
    x = 813,421,806,201/411,597
  6. Step 6: Final answer
    x = 1,976,257.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.