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Finding the Third Proportional to 2,824,220 and 4,310,228

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Solution

The third proportional to 2,824,220 and 4,310,228 is: 6,578,122.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824,220 : 4,310,228 = 4,310,228 : x
  2. Step 2: Convert to fraction form
    2,824,220/4,310,228 = 4,310,228/x
  3. Step 3: Cross multiply
    2,824,220x = 4,310,228 × 4,310,228
  4. Step 4: Simplify right side
    2,824,220x = 18,578,065,411,984
  5. Step 5: Solve for x
    x = 18,578,065,411,984/2,824,220
  6. Step 6: Final answer
    x = 6,578,122.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.