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Finding the Third Proportional to 1,295,987 and 1,744,657

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Solution

The third proportional to 1,295,987 and 1,744,657 is: 2,348,656.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295,987 : 1,744,657 = 1,744,657 : x
  2. Step 2: Convert to fraction form
    1,295,987/1,744,657 = 1,744,657/x
  3. Step 3: Cross multiply
    1,295,987x = 1,744,657 × 1,744,657
  4. Step 4: Simplify right side
    1,295,987x = 3,043,828,047,649
  5. Step 5: Solve for x
    x = 3,043,828,047,649/1,295,987
  6. Step 6: Final answer
    x = 2,348,656.31

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.