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Finding the Third Proportional to 524,653 and 786,989

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Solution

The third proportional to 524,653 and 786,989 is: 1,180,497.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,653 : 786,989 = 786,989 : x
  2. Step 2: Convert to fraction form
    524,653/786,989 = 786,989/x
  3. Step 3: Cross multiply
    524,653x = 786,989 × 786,989
  4. Step 4: Simplify right side
    524,653x = 619,351,686,121
  5. Step 5: Solve for x
    x = 619,351,686,121/524,653
  6. Step 6: Final answer
    x = 1,180,497.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.