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Finding the Third Proportional to 1,296,432 and 1,962,540

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Solution

The third proportional to 1,296,432 and 1,962,540 is: 2,970,894.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,432 : 1,962,540 = 1,962,540 : x
  2. Step 2: Convert to fraction form
    1,296,432/1,962,540 = 1,962,540/x
  3. Step 3: Cross multiply
    1,296,432x = 1,962,540 × 1,962,540
  4. Step 4: Simplify right side
    1,296,432x = 3,851,563,251,600
  5. Step 5: Solve for x
    x = 3,851,563,251,600/1,296,432
  6. Step 6: Final answer
    x = 2,970,894.93

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