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Finding the Third Proportional to 1,687,854 and 3,696,138

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Solution

The third proportional to 1,687,854 and 3,696,138 is: 8,093,967.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687,854 : 3,696,138 = 3,696,138 : x
  2. Step 2: Convert to fraction form
    1,687,854/3,696,138 = 3,696,138/x
  3. Step 3: Cross multiply
    1,687,854x = 3,696,138 × 3,696,138
  4. Step 4: Simplify right side
    1,687,854x = 13,661,436,115,044
  5. Step 5: Solve for x
    x = 13,661,436,115,044/1,687,854
  6. Step 6: Final answer
    x = 8,093,967.91

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