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Finding the Third Proportional to 1,309,947 and 2,083,023

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Solution

The third proportional to 1,309,947 and 2,083,023 is: 3,312,336.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,947 : 2,083,023 = 2,083,023 : x
  2. Step 2: Convert to fraction form
    1,309,947/2,083,023 = 2,083,023/x
  3. Step 3: Cross multiply
    1,309,947x = 2,083,023 × 2,083,023
  4. Step 4: Simplify right side
    1,309,947x = 4,338,984,818,529
  5. Step 5: Solve for x
    x = 4,338,984,818,529/1,309,947
  6. Step 6: Final answer
    x = 3,312,336.16

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.