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Finding the Third Proportional to 2,706,240 and 5,948,160

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Solution

The third proportional to 2,706,240 and 5,948,160 is: 13,073,713.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706,240 : 5,948,160 = 5,948,160 : x
  2. Step 2: Convert to fraction form
    2,706,240/5,948,160 = 5,948,160/x
  3. Step 3: Cross multiply
    2,706,240x = 5,948,160 × 5,948,160
  4. Step 4: Simplify right side
    2,706,240x = 35,380,607,385,600
  5. Step 5: Solve for x
    x = 35,380,607,385,600/2,706,240
  6. Step 6: Final answer
    x = 13,073,713.86

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.