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Finding the Third Proportional to 841,830 and 1,803,198

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Solution

The third proportional to 841,830 and 1,803,198 is: 3,862,446.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,830 : 1,803,198 = 1,803,198 : x
  2. Step 2: Convert to fraction form
    841,830/1,803,198 = 1,803,198/x
  3. Step 3: Cross multiply
    841,830x = 1,803,198 × 1,803,198
  4. Step 4: Simplify right side
    841,830x = 3,251,523,027,204
  5. Step 5: Solve for x
    x = 3,251,523,027,204/841,830
  6. Step 6: Final answer
    x = 3,862,446.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.