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Finding the Third Proportional to 991,028 and 1,463,214

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Solution

The third proportional to 991,028 and 1,463,214 is: 2,160,378.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    991,028 : 1,463,214 = 1,463,214 : x
  2. Step 2: Convert to fraction form
    991,028/1,463,214 = 1,463,214/x
  3. Step 3: Cross multiply
    991,028x = 1,463,214 × 1,463,214
  4. Step 4: Simplify right side
    991,028x = 2,140,995,209,796
  5. Step 5: Solve for x
    x = 2,140,995,209,796/991,028
  6. Step 6: Final answer
    x = 2,160,378.12

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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.