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Finding the Third Proportional to 4,193,594 and 9,857,297

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Solution

The third proportional to 4,193,594 and 9,857,297 is: 23,170,174.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193,594 : 9,857,297 = 9,857,297 : x
  2. Step 2: Convert to fraction form
    4,193,594/9,857,297 = 9,857,297/x
  3. Step 3: Cross multiply
    4,193,594x = 9,857,297 × 9,857,297
  4. Step 4: Simplify right side
    4,193,594x = 97,166,304,146,209
  5. Step 5: Solve for x
    x = 97,166,304,146,209/4,193,594
  6. Step 6: Final answer
    x = 23,170,174.35

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.