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Finding the Third Proportional to 2,244,457 and 3,482,475

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Solution

The third proportional to 2,244,457 and 3,482,475 is: 5,403,370.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244,457 : 3,482,475 = 3,482,475 : x
  2. Step 2: Convert to fraction form
    2,244,457/3,482,475 = 3,482,475/x
  3. Step 3: Cross multiply
    2,244,457x = 3,482,475 × 3,482,475
  4. Step 4: Simplify right side
    2,244,457x = 12,127,632,125,625
  5. Step 5: Solve for x
    x = 12,127,632,125,625/2,244,457
  6. Step 6: Final answer
    x = 5,403,370.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.