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Finding the Third Proportional to 841,000 and 1,305,792

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Solution

The third proportional to 841,000 and 1,305,792 is: 2,027,458.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,000 : 1,305,792 = 1,305,792 : x
  2. Step 2: Convert to fraction form
    841,000/1,305,792 = 1,305,792/x
  3. Step 3: Cross multiply
    841,000x = 1,305,792 × 1,305,792
  4. Step 4: Simplify right side
    841,000x = 1,705,092,747,264
  5. Step 5: Solve for x
    x = 1,705,092,747,264/841,000
  6. Step 6: Final answer
    x = 2,027,458.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.