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Finding the Third Proportional to 1,214,340 and 1,811,658

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Solution

The third proportional to 1,214,340 and 1,811,658 is: 2,702,788.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,340 : 1,811,658 = 1,811,658 : x
  2. Step 2: Convert to fraction form
    1,214,340/1,811,658 = 1,811,658/x
  3. Step 3: Cross multiply
    1,214,340x = 1,811,658 × 1,811,658
  4. Step 4: Simplify right side
    1,214,340x = 3,282,104,708,964
  5. Step 5: Solve for x
    x = 3,282,104,708,964/1,214,340
  6. Step 6: Final answer
    x = 2,702,788.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.