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Finding the Third Proportional to 644,194 and 1,371,548

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Solution

The third proportional to 644,194 and 1,371,548 is: 2,920,151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,194 : 1,371,548 = 1,371,548 : x
  2. Step 2: Convert to fraction form
    644,194/1,371,548 = 1,371,548/x
  3. Step 3: Cross multiply
    644,194x = 1,371,548 × 1,371,548
  4. Step 4: Simplify right side
    644,194x = 1,881,143,916,304
  5. Step 5: Solve for x
    x = 1,881,143,916,304/644,194
  6. Step 6: Final answer
    x = 2,920,151.25

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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.