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Finding the Third Proportional to 676,863 and 1,443,798

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Solution

The third proportional to 676,863 and 1,443,798 is: 3,079,726.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,863 : 1,443,798 = 1,443,798 : x
  2. Step 2: Convert to fraction form
    676,863/1,443,798 = 1,443,798/x
  3. Step 3: Cross multiply
    676,863x = 1,443,798 × 1,443,798
  4. Step 4: Simplify right side
    676,863x = 2,084,552,664,804
  5. Step 5: Solve for x
    x = 2,084,552,664,804/676,863
  6. Step 6: Final answer
    x = 3,079,726.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.