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Finding the Third Proportional to 644,301 and 1,371,546

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Solution

The third proportional to 644,301 and 1,371,546 is: 2,919,657.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,301 : 1,371,546 = 1,371,546 : x
  2. Step 2: Convert to fraction form
    644,301/1,371,546 = 1,371,546/x
  3. Step 3: Cross multiply
    644,301x = 1,371,546 × 1,371,546
  4. Step 4: Simplify right side
    644,301x = 1,881,138,430,116
  5. Step 5: Solve for x
    x = 1,881,138,430,116/644,301
  6. Step 6: Final answer
    x = 2,919,657.78

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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.