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Finding the Third Proportional to 1,377,194 and 2,971,924

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Solution

The third proportional to 1,377,194 and 2,971,924 is: 6,413,281.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377,194 : 2,971,924 = 2,971,924 : x
  2. Step 2: Convert to fraction form
    1,377,194/2,971,924 = 2,971,924/x
  3. Step 3: Cross multiply
    1,377,194x = 2,971,924 × 2,971,924
  4. Step 4: Simplify right side
    1,377,194x = 8,832,332,261,776
  5. Step 5: Solve for x
    x = 8,832,332,261,776/1,377,194
  6. Step 6: Final answer
    x = 6,413,281.11

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.