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Finding the Third Proportional to 486,015 and 1,046,535

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Solution

The third proportional to 486,015 and 1,046,535 is: 2,253,501.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,015 : 1,046,535 = 1,046,535 : x
  2. Step 2: Convert to fraction form
    486,015/1,046,535 = 1,046,535/x
  3. Step 3: Cross multiply
    486,015x = 1,046,535 × 1,046,535
  4. Step 4: Simplify right side
    486,015x = 1,095,235,506,225
  5. Step 5: Solve for x
    x = 1,095,235,506,225/486,015
  6. Step 6: Final answer
    x = 2,253,501.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.