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Finding the Third Proportional to 841,347 and 1,824,660

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Solution

The third proportional to 841,347 and 1,824,660 is: 3,957,206.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,347 : 1,824,660 = 1,824,660 : x
  2. Step 2: Convert to fraction form
    841,347/1,824,660 = 1,824,660/x
  3. Step 3: Cross multiply
    841,347x = 1,824,660 × 1,824,660
  4. Step 4: Simplify right side
    841,347x = 3,329,384,115,600
  5. Step 5: Solve for x
    x = 3,329,384,115,600/841,347
  6. Step 6: Final answer
    x = 3,957,206.85

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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.