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Finding the Third Proportional to 557,478 and 1,223,226

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Solution

The third proportional to 557,478 and 1,223,226 is: 2,684,019.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,478 : 1,223,226 = 1,223,226 : x
  2. Step 2: Convert to fraction form
    557,478/1,223,226 = 1,223,226/x
  3. Step 3: Cross multiply
    557,478x = 1,223,226 × 1,223,226
  4. Step 4: Simplify right side
    557,478x = 1,496,281,847,076
  5. Step 5: Solve for x
    x = 1,496,281,847,076/557,478
  6. Step 6: Final answer
    x = 2,684,019.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.