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Finding the Third Proportional to 869,496 and 1,336,644

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Solution

The third proportional to 869,496 and 1,336,644 is: 2,054,773.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,496 : 1,336,644 = 1,336,644 : x
  2. Step 2: Convert to fraction form
    869,496/1,336,644 = 1,336,644/x
  3. Step 3: Cross multiply
    869,496x = 1,336,644 × 1,336,644
  4. Step 4: Simplify right side
    869,496x = 1,786,617,182,736
  5. Step 5: Solve for x
    x = 1,786,617,182,736/869,496
  6. Step 6: Final answer
    x = 2,054,773.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.