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Finding the Third Proportional to 960,915 and 1,447,659

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Solution

The third proportional to 960,915 and 1,447,659 is: 2,180,959.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,915 : 1,447,659 = 1,447,659 : x
  2. Step 2: Convert to fraction form
    960,915/1,447,659 = 1,447,659/x
  3. Step 3: Cross multiply
    960,915x = 1,447,659 × 1,447,659
  4. Step 4: Simplify right side
    960,915x = 2,095,716,580,281
  5. Step 5: Solve for x
    x = 2,095,716,580,281/960,915
  6. Step 6: Final answer
    x = 2,180,959.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.