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Finding the Third Proportional to 445,396 and 912,656

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Solution

The third proportional to 445,396 and 912,656 is: 1,870,113.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,396 : 912,656 = 912,656 : x
  2. Step 2: Convert to fraction form
    445,396/912,656 = 912,656/x
  3. Step 3: Cross multiply
    445,396x = 912,656 × 912,656
  4. Step 4: Simplify right side
    445,396x = 832,940,974,336
  5. Step 5: Solve for x
    x = 832,940,974,336/445,396
  6. Step 6: Final answer
    x = 1,870,113.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.