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Finding the Third Proportional to 560,829 and 1,223,164

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Solution

The third proportional to 560,829 and 1,223,164 is: 2,667,711.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,829 : 1,223,164 = 1,223,164 : x
  2. Step 2: Convert to fraction form
    560,829/1,223,164 = 1,223,164/x
  3. Step 3: Cross multiply
    560,829x = 1,223,164 × 1,223,164
  4. Step 4: Simplify right side
    560,829x = 1,496,130,170,896
  5. Step 5: Solve for x
    x = 1,496,130,170,896/560,829
  6. Step 6: Final answer
    x = 2,667,711.85

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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.