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Finding the Third Proportional to 2,398,528 and 3,916,165

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Solution

The third proportional to 2,398,528 and 3,916,165 is: 6,394,066.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398,528 : 3,916,165 = 3,916,165 : x
  2. Step 2: Convert to fraction form
    2,398,528/3,916,165 = 3,916,165/x
  3. Step 3: Cross multiply
    2,398,528x = 3,916,165 × 3,916,165
  4. Step 4: Simplify right side
    2,398,528x = 15,336,348,307,225
  5. Step 5: Solve for x
    x = 15,336,348,307,225/2,398,528
  6. Step 6: Final answer
    x = 6,394,066.82

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.