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Finding the Third Proportional to 2,000,184 and 4,411,632

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Solution

The third proportional to 2,000,184 and 4,411,632 is: 9,730,353.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000,184 : 4,411,632 = 4,411,632 : x
  2. Step 2: Convert to fraction form
    2,000,184/4,411,632 = 4,411,632/x
  3. Step 3: Cross multiply
    2,000,184x = 4,411,632 × 4,411,632
  4. Step 4: Simplify right side
    2,000,184x = 19,462,496,903,424
  5. Step 5: Solve for x
    x = 19,462,496,903,424/2,000,184
  6. Step 6: Final answer
    x = 9,730,353.26

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.