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Finding the Third Proportional to 561,080 and 869,196

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Solution

The third proportional to 561,080 and 869,196 is: 1,346,513.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,080 : 869,196 = 869,196 : x
  2. Step 2: Convert to fraction form
    561,080/869,196 = 869,196/x
  3. Step 3: Cross multiply
    561,080x = 869,196 × 869,196
  4. Step 4: Simplify right side
    561,080x = 755,501,686,416
  5. Step 5: Solve for x
    x = 755,501,686,416/561,080
  6. Step 6: Final answer
    x = 1,346,513.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.