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Finding the Third Proportional to 486,983 and 1,062,535

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Solution

The third proportional to 486,983 and 1,062,535 is: 2,318,316.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,983 : 1,062,535 = 1,062,535 : x
  2. Step 2: Convert to fraction form
    486,983/1,062,535 = 1,062,535/x
  3. Step 3: Cross multiply
    486,983x = 1,062,535 × 1,062,535
  4. Step 4: Simplify right side
    486,983x = 1,128,980,626,225
  5. Step 5: Solve for x
    x = 1,128,980,626,225/486,983
  6. Step 6: Final answer
    x = 2,318,316.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.