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Finding the Third Proportional to 1,024,864 and 1,628,535

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Solution

The third proportional to 1,024,864 and 1,628,535 is: 2,587,783.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,864 : 1,628,535 = 1,628,535 : x
  2. Step 2: Convert to fraction form
    1,024,864/1,628,535 = 1,628,535/x
  3. Step 3: Cross multiply
    1,024,864x = 1,628,535 × 1,628,535
  4. Step 4: Simplify right side
    1,024,864x = 2,652,126,246,225
  5. Step 5: Solve for x
    x = 2,652,126,246,225/1,024,864
  6. Step 6: Final answer
    x = 2,587,783.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.