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Finding the Third Proportional to 4,496,370 and 6,856,605

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Solution

The third proportional to 4,496,370 and 6,856,605 is: 10,455,774.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496,370 : 6,856,605 = 6,856,605 : x
  2. Step 2: Convert to fraction form
    4,496,370/6,856,605 = 6,856,605/x
  3. Step 3: Cross multiply
    4,496,370x = 6,856,605 × 6,856,605
  4. Step 4: Simplify right side
    4,496,370x = 47,013,032,126,025
  5. Step 5: Solve for x
    x = 47,013,032,126,025/4,496,370
  6. Step 6: Final answer
    x = 10,455,774.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.