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Finding the Third Proportional to 2,431,998 and 5,423,220

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Solution

The third proportional to 2,431,998 and 5,423,220 is: 12,093,478.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431,998 : 5,423,220 = 5,423,220 : x
  2. Step 2: Convert to fraction form
    2,431,998/5,423,220 = 5,423,220/x
  3. Step 3: Cross multiply
    2,431,998x = 5,423,220 × 5,423,220
  4. Step 4: Simplify right side
    2,431,998x = 29,411,315,168,400
  5. Step 5: Solve for x
    x = 29,411,315,168,400/2,431,998
  6. Step 6: Final answer
    x = 12,093,478.35

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.