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Finding the Third Proportional to 1,962,822 and 2,954,070

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Solution

The third proportional to 1,962,822 and 2,954,070 is: 4,445,909.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962,822 : 2,954,070 = 2,954,070 : x
  2. Step 2: Convert to fraction form
    1,962,822/2,954,070 = 2,954,070/x
  3. Step 3: Cross multiply
    1,962,822x = 2,954,070 × 2,954,070
  4. Step 4: Simplify right side
    1,962,822x = 8,726,529,564,900
  5. Step 5: Solve for x
    x = 8,726,529,564,900/1,962,822
  6. Step 6: Final answer
    x = 4,445,909.80

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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.