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Finding the Third Proportional to 895,221 and 1,744,758

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Solution

The third proportional to 895,221 and 1,744,758 is: 3,400,479.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,221 : 1,744,758 = 1,744,758 : x
  2. Step 2: Convert to fraction form
    895,221/1,744,758 = 1,744,758/x
  3. Step 3: Cross multiply
    895,221x = 1,744,758 × 1,744,758
  4. Step 4: Simplify right side
    895,221x = 3,044,180,478,564
  5. Step 5: Solve for x
    x = 3,044,180,478,564/895,221
  6. Step 6: Final answer
    x = 3,400,479.30

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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.