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Finding the Third Proportional to 1,015,220 and 2,257,377

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Solution

The third proportional to 1,015,220 and 2,257,377 is: 5,019,356.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015,220 : 2,257,377 = 2,257,377 : x
  2. Step 2: Convert to fraction form
    1,015,220/2,257,377 = 2,257,377/x
  3. Step 3: Cross multiply
    1,015,220x = 2,257,377 × 2,257,377
  4. Step 4: Simplify right side
    1,015,220x = 5,095,750,920,129
  5. Step 5: Solve for x
    x = 5,095,750,920,129/1,015,220
  6. Step 6: Final answer
    x = 5,019,356.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.