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Finding the Third Proportional to 1,381,680 and 2,973,310

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Solution

The third proportional to 1,381,680 and 2,973,310 is: 6,398,422.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381,680 : 2,973,310 = 2,973,310 : x
  2. Step 2: Convert to fraction form
    1,381,680/2,973,310 = 2,973,310/x
  3. Step 3: Cross multiply
    1,381,680x = 2,973,310 × 2,973,310
  4. Step 4: Simplify right side
    1,381,680x = 8,840,572,356,100
  5. Step 5: Solve for x
    x = 8,840,572,356,100/1,381,680
  6. Step 6: Final answer
    x = 6,398,422.47

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.