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Finding the Third Proportional to 418,090 and 895,208

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Solution

The third proportional to 418,090 and 895,208 is: 1,916,805.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,090 : 895,208 = 895,208 : x
  2. Step 2: Convert to fraction form
    418,090/895,208 = 895,208/x
  3. Step 3: Cross multiply
    418,090x = 895,208 × 895,208
  4. Step 4: Simplify right side
    418,090x = 801,397,363,264
  5. Step 5: Solve for x
    x = 801,397,363,264/418,090
  6. Step 6: Final answer
    x = 1,916,805.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.