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Finding the Third Proportional to 498,386 and 1,062,013

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Solution

The third proportional to 498,386 and 1,062,013 is: 2,263,048.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,386 : 1,062,013 = 1,062,013 : x
  2. Step 2: Convert to fraction form
    498,386/1,062,013 = 1,062,013/x
  3. Step 3: Cross multiply
    498,386x = 1,062,013 × 1,062,013
  4. Step 4: Simplify right side
    498,386x = 1,127,871,612,169
  5. Step 5: Solve for x
    x = 1,127,871,612,169/498,386
  6. Step 6: Final answer
    x = 2,263,048.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.