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Finding the Third Proportional to 1,312,740 and 1,966,923

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Solution

The third proportional to 1,312,740 and 1,966,923 is: 2,947,107.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312,740 : 1,966,923 = 1,966,923 : x
  2. Step 2: Convert to fraction form
    1,312,740/1,966,923 = 1,966,923/x
  3. Step 3: Cross multiply
    1,312,740x = 1,966,923 × 1,966,923
  4. Step 4: Simplify right side
    1,312,740x = 3,868,786,087,929
  5. Step 5: Solve for x
    x = 3,868,786,087,929/1,312,740
  6. Step 6: Final answer
    x = 2,947,107.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.