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Finding the Third Proportional to 6,597,397 and 9,290,415

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Solution

The third proportional to 6,597,397 and 9,290,415 is: 13,082,706.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597,397 : 9,290,415 = 9,290,415 : x
  2. Step 2: Convert to fraction form
    6,597,397/9,290,415 = 9,290,415/x
  3. Step 3: Cross multiply
    6,597,397x = 9,290,415 × 9,290,415
  4. Step 4: Simplify right side
    6,597,397x = 86,311,810,872,225
  5. Step 5: Solve for x
    x = 86,311,810,872,225/6,597,397
  6. Step 6: Final answer
    x = 13,082,706.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.