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Finding the Third Proportional to 663,126 and 1,019,841

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Solution

The third proportional to 663,126 and 1,019,841 is: 1,568,443.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,126 : 1,019,841 = 1,019,841 : x
  2. Step 2: Convert to fraction form
    663,126/1,019,841 = 1,019,841/x
  3. Step 3: Cross multiply
    663,126x = 1,019,841 × 1,019,841
  4. Step 4: Simplify right side
    663,126x = 1,040,075,665,281
  5. Step 5: Solve for x
    x = 1,040,075,665,281/663,126
  6. Step 6: Final answer
    x = 1,568,443.50

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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.