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Finding the Third Proportional to 1,582,228 and 2,343,748

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Solution

The third proportional to 1,582,228 and 2,343,748 is: 3,471,784.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582,228 : 2,343,748 = 2,343,748 : x
  2. Step 2: Convert to fraction form
    1,582,228/2,343,748 = 2,343,748/x
  3. Step 3: Cross multiply
    1,582,228x = 2,343,748 × 2,343,748
  4. Step 4: Simplify right side
    1,582,228x = 5,493,154,687,504
  5. Step 5: Solve for x
    x = 5,493,154,687,504/1,582,228
  6. Step 6: Final answer
    x = 3,471,784.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.