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Finding the Third Proportional to 1,486,520 and 2,243,712

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Solution

The third proportional to 1,486,520 and 2,243,712 is: 3,386,596.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486,520 : 2,243,712 = 2,243,712 : x
  2. Step 2: Convert to fraction form
    1,486,520/2,243,712 = 2,243,712/x
  3. Step 3: Cross multiply
    1,486,520x = 2,243,712 × 2,243,712
  4. Step 4: Simplify right side
    1,486,520x = 5,034,243,538,944
  5. Step 5: Solve for x
    x = 5,034,243,538,944/1,486,520
  6. Step 6: Final answer
    x = 3,386,596.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.