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Finding the Third Proportional to 783,380 and 1,056,966

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Solution

The third proportional to 783,380 and 1,056,966 is: 1,426,098.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,380 : 1,056,966 = 1,056,966 : x
  2. Step 2: Convert to fraction form
    783,380/1,056,966 = 1,056,966/x
  3. Step 3: Cross multiply
    783,380x = 1,056,966 × 1,056,966
  4. Step 4: Simplify right side
    783,380x = 1,117,177,125,156
  5. Step 5: Solve for x
    x = 1,117,177,125,156/783,380
  6. Step 6: Final answer
    x = 1,426,098.60

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.