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Finding the Third Proportional to 4,215,024 and 6,538,752

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Solution

The third proportional to 4,215,024 and 6,538,752 is: 10,143,543.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215,024 : 6,538,752 = 6,538,752 : x
  2. Step 2: Convert to fraction form
    4,215,024/6,538,752 = 6,538,752/x
  3. Step 3: Cross multiply
    4,215,024x = 6,538,752 × 6,538,752
  4. Step 4: Simplify right side
    4,215,024x = 42,755,277,717,504
  5. Step 5: Solve for x
    x = 42,755,277,717,504/4,215,024
  6. Step 6: Final answer
    x = 10,143,543.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.