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Finding the Third Proportional to 776,256 and 1,234,368

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Solution

The third proportional to 776,256 and 1,234,368 is: 1,962,837.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,256 : 1,234,368 = 1,234,368 : x
  2. Step 2: Convert to fraction form
    776,256/1,234,368 = 1,234,368/x
  3. Step 3: Cross multiply
    776,256x = 1,234,368 × 1,234,368
  4. Step 4: Simplify right side
    776,256x = 1,523,664,359,424
  5. Step 5: Solve for x
    x = 1,523,664,359,424/776,256
  6. Step 6: Final answer
    x = 1,962,837.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.