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Finding the Third Proportional to 1,310,424 and 1,974,879

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Solution

The third proportional to 1,310,424 and 1,974,879 is: 2,976,248.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310,424 : 1,974,879 = 1,974,879 : x
  2. Step 2: Convert to fraction form
    1,310,424/1,974,879 = 1,974,879/x
  3. Step 3: Cross multiply
    1,310,424x = 1,974,879 × 1,974,879
  4. Step 4: Simplify right side
    1,310,424x = 3,900,147,064,641
  5. Step 5: Solve for x
    x = 3,900,147,064,641/1,310,424
  6. Step 6: Final answer
    x = 2,976,248.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.