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Finding the Third Proportional to 3,754,971 and 6,973,587

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Solution

The third proportional to 3,754,971 and 6,973,587 is: 12,951,076.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754,971 : 6,973,587 = 6,973,587 : x
  2. Step 2: Convert to fraction form
    3,754,971/6,973,587 = 6,973,587/x
  3. Step 3: Cross multiply
    3,754,971x = 6,973,587 × 6,973,587
  4. Step 4: Simplify right side
    3,754,971x = 48,630,915,646,569
  5. Step 5: Solve for x
    x = 48,630,915,646,569/3,754,971
  6. Step 6: Final answer
    x = 12,951,076.23

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.