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Finding the Third Proportional to 847,897 and 1,843,045

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Solution

The third proportional to 847,897 and 1,843,045 is: 4,006,164.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,897 : 1,843,045 = 1,843,045 : x
  2. Step 2: Convert to fraction form
    847,897/1,843,045 = 1,843,045/x
  3. Step 3: Cross multiply
    847,897x = 1,843,045 × 1,843,045
  4. Step 4: Simplify right side
    847,897x = 3,396,814,872,025
  5. Step 5: Solve for x
    x = 3,396,814,872,025/847,897
  6. Step 6: Final answer
    x = 4,006,164.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.