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Finding the Third Proportional to 416,547 and 908,478

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Solution

The third proportional to 416,547 and 908,478 is: 1,981,366.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,547 : 908,478 = 908,478 : x
  2. Step 2: Convert to fraction form
    416,547/908,478 = 908,478/x
  3. Step 3: Cross multiply
    416,547x = 908,478 × 908,478
  4. Step 4: Simplify right side
    416,547x = 825,332,276,484
  5. Step 5: Solve for x
    x = 825,332,276,484/416,547
  6. Step 6: Final answer
    x = 1,981,366.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.