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Finding the Third Proportional to 869,184 and 1,277,761

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Solution

The third proportional to 869,184 and 1,277,761 is: 1,878,397.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,184 : 1,277,761 = 1,277,761 : x
  2. Step 2: Convert to fraction form
    869,184/1,277,761 = 1,277,761/x
  3. Step 3: Cross multiply
    869,184x = 1,277,761 × 1,277,761
  4. Step 4: Simplify right side
    869,184x = 1,632,673,173,121
  5. Step 5: Solve for x
    x = 1,632,673,173,121/869,184
  6. Step 6: Final answer
    x = 1,878,397.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.