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Finding the Third Proportional to 3,657,922 and 4,934,355

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Solution

The third proportional to 3,657,922 and 4,934,355 is: 6,656,199.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657,922 : 4,934,355 = 4,934,355 : x
  2. Step 2: Convert to fraction form
    3,657,922/4,934,355 = 4,934,355/x
  3. Step 3: Cross multiply
    3,657,922x = 4,934,355 × 4,934,355
  4. Step 4: Simplify right side
    3,657,922x = 24,347,859,266,025
  5. Step 5: Solve for x
    x = 24,347,859,266,025/3,657,922
  6. Step 6: Final answer
    x = 6,656,199.69

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.