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Finding the Third Proportional to 912,742 and 1,418,895

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Solution

The third proportional to 912,742 and 1,418,895 is: 2,205,730.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,742 : 1,418,895 = 1,418,895 : x
  2. Step 2: Convert to fraction form
    912,742/1,418,895 = 1,418,895/x
  3. Step 3: Cross multiply
    912,742x = 1,418,895 × 1,418,895
  4. Step 4: Simplify right side
    912,742x = 2,013,263,021,025
  5. Step 5: Solve for x
    x = 2,013,263,021,025/912,742
  6. Step 6: Final answer
    x = 2,205,730.67

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.