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Finding the Third Proportional to 632,840 and 1,385,881

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Solution

The third proportional to 632,840 and 1,385,881 is: 3,034,994.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,840 : 1,385,881 = 1,385,881 : x
  2. Step 2: Convert to fraction form
    632,840/1,385,881 = 1,385,881/x
  3. Step 3: Cross multiply
    632,840x = 1,385,881 × 1,385,881
  4. Step 4: Simplify right side
    632,840x = 1,920,666,146,161
  5. Step 5: Solve for x
    x = 1,920,666,146,161/632,840
  6. Step 6: Final answer
    x = 3,034,994.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.