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Finding the Third Proportional to 2,998,709 and 4,385,592

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Solution

The third proportional to 2,998,709 and 4,385,592 is: 6,413,899.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998,709 : 4,385,592 = 4,385,592 : x
  2. Step 2: Convert to fraction form
    2,998,709/4,385,592 = 4,385,592/x
  3. Step 3: Cross multiply
    2,998,709x = 4,385,592 × 4,385,592
  4. Step 4: Simplify right side
    2,998,709x = 19,233,417,190,464
  5. Step 5: Solve for x
    x = 19,233,417,190,464/2,998,709
  6. Step 6: Final answer
    x = 6,413,899.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.