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Finding the Third Proportional to 640,916 and 1,005,368

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Solution

The third proportional to 640,916 and 1,005,368 is: 1,577,062.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,916 : 1,005,368 = 1,005,368 : x
  2. Step 2: Convert to fraction form
    640,916/1,005,368 = 1,005,368/x
  3. Step 3: Cross multiply
    640,916x = 1,005,368 × 1,005,368
  4. Step 4: Simplify right side
    640,916x = 1,010,764,815,424
  5. Step 5: Solve for x
    x = 1,010,764,815,424/640,916
  6. Step 6: Final answer
    x = 1,577,062.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.