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Finding the Third Proportional to 1,105,886 and 1,690,905

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Solution

The third proportional to 1,105,886 and 1,690,905 is: 2,585,401.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105,886 : 1,690,905 = 1,690,905 : x
  2. Step 2: Convert to fraction form
    1,105,886/1,690,905 = 1,690,905/x
  3. Step 3: Cross multiply
    1,105,886x = 1,690,905 × 1,690,905
  4. Step 4: Simplify right side
    1,105,886x = 2,859,159,719,025
  5. Step 5: Solve for x
    x = 2,859,159,719,025/1,105,886
  6. Step 6: Final answer
    x = 2,585,401.86

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.