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Finding the Third Proportional to 560,850 and 1,223,196

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Solution

The third proportional to 560,850 and 1,223,196 is: 2,667,751.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,850 : 1,223,196 = 1,223,196 : x
  2. Step 2: Convert to fraction form
    560,850/1,223,196 = 1,223,196/x
  3. Step 3: Cross multiply
    560,850x = 1,223,196 × 1,223,196
  4. Step 4: Simplify right side
    560,850x = 1,496,208,454,416
  5. Step 5: Solve for x
    x = 1,496,208,454,416/560,850
  6. Step 6: Final answer
    x = 2,667,751.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.