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Finding the Third Proportional to 1,031,857 and 1,486,258

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Solution

The third proportional to 1,031,857 and 1,486,258 is: 2,140,764.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031,857 : 1,486,258 = 1,486,258 : x
  2. Step 2: Convert to fraction form
    1,031,857/1,486,258 = 1,486,258/x
  3. Step 3: Cross multiply
    1,031,857x = 1,486,258 × 1,486,258
  4. Step 4: Simplify right side
    1,031,857x = 2,208,962,842,564
  5. Step 5: Solve for x
    x = 2,208,962,842,564/1,031,857
  6. Step 6: Final answer
    x = 2,140,764.51

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.