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Finding the Third Proportional to 475,344 and 1,032,656

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Solution

The third proportional to 475,344 and 1,032,656 is: 2,243,382.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,344 : 1,032,656 = 1,032,656 : x
  2. Step 2: Convert to fraction form
    475,344/1,032,656 = 1,032,656/x
  3. Step 3: Cross multiply
    475,344x = 1,032,656 × 1,032,656
  4. Step 4: Simplify right side
    475,344x = 1,066,378,414,336
  5. Step 5: Solve for x
    x = 1,066,378,414,336/475,344
  6. Step 6: Final answer
    x = 2,243,382.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.