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Finding the Third Proportional to 2,509,394 and 5,342,304

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Solution

The third proportional to 2,509,394 and 5,342,304 is: 11,373,348.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509,394 : 5,342,304 = 5,342,304 : x
  2. Step 2: Convert to fraction form
    2,509,394/5,342,304 = 5,342,304/x
  3. Step 3: Cross multiply
    2,509,394x = 5,342,304 × 5,342,304
  4. Step 4: Simplify right side
    2,509,394x = 28,540,212,028,416
  5. Step 5: Solve for x
    x = 28,540,212,028,416/2,509,394
  6. Step 6: Final answer
    x = 11,373,348.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.