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Finding the Third Proportional to 829,744 and 1,281,465

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Solution

The third proportional to 829,744 and 1,281,465 is: 1,979,107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,744 : 1,281,465 = 1,281,465 : x
  2. Step 2: Convert to fraction form
    829,744/1,281,465 = 1,281,465/x
  3. Step 3: Cross multiply
    829,744x = 1,281,465 × 1,281,465
  4. Step 4: Simplify right side
    829,744x = 1,642,152,546,225
  5. Step 5: Solve for x
    x = 1,642,152,546,225/829,744
  6. Step 6: Final answer
    x = 1,979,107.47

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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.