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Finding the Third Proportional to 1,729,742 and 2,637,260

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Solution

The third proportional to 1,729,742 and 2,637,260 is: 4,020,911.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729,742 : 2,637,260 = 2,637,260 : x
  2. Step 2: Convert to fraction form
    1,729,742/2,637,260 = 2,637,260/x
  3. Step 3: Cross multiply
    1,729,742x = 2,637,260 × 2,637,260
  4. Step 4: Simplify right side
    1,729,742x = 6,955,140,307,600
  5. Step 5: Solve for x
    x = 6,955,140,307,600/1,729,742
  6. Step 6: Final answer
    x = 4,020,911.97

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.