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Finding the Third Proportional to 960,256 and 2,069,376

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Solution

The third proportional to 960,256 and 2,069,376 is: 4,459,557.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,256 : 2,069,376 = 2,069,376 : x
  2. Step 2: Convert to fraction form
    960,256/2,069,376 = 2,069,376/x
  3. Step 3: Cross multiply
    960,256x = 2,069,376 × 2,069,376
  4. Step 4: Simplify right side
    960,256x = 4,282,317,029,376
  5. Step 5: Solve for x
    x = 4,282,317,029,376/960,256
  6. Step 6: Final answer
    x = 4,459,557.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.