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Finding the Third Proportional to 1,165,764 and 1,798,462

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Solution

The third proportional to 1,165,764 and 1,798,462 is: 2,774,545.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,764 : 1,798,462 = 1,798,462 : x
  2. Step 2: Convert to fraction form
    1,165,764/1,798,462 = 1,798,462/x
  3. Step 3: Cross multiply
    1,165,764x = 1,798,462 × 1,798,462
  4. Step 4: Simplify right side
    1,165,764x = 3,234,465,565,444
  5. Step 5: Solve for x
    x = 3,234,465,565,444/1,165,764
  6. Step 6: Final answer
    x = 2,774,545.76

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.