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Finding the Third Proportional to 1,582,720 and 3,221,376

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Solution

The third proportional to 1,582,720 and 3,221,376 is: 6,556,600.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582,720 : 3,221,376 = 3,221,376 : x
  2. Step 2: Convert to fraction form
    1,582,720/3,221,376 = 3,221,376/x
  3. Step 3: Cross multiply
    1,582,720x = 3,221,376 × 3,221,376
  4. Step 4: Simplify right side
    1,582,720x = 10,377,263,333,376
  5. Step 5: Solve for x
    x = 10,377,263,333,376/1,582,720
  6. Step 6: Final answer
    x = 6,556,600.87

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.