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Finding the Third Proportional to 783,869 and 1,145,557

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Solution

The third proportional to 783,869 and 1,145,557 is: 1,674,132.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,869 : 1,145,557 = 1,145,557 : x
  2. Step 2: Convert to fraction form
    783,869/1,145,557 = 1,145,557/x
  3. Step 3: Cross multiply
    783,869x = 1,145,557 × 1,145,557
  4. Step 4: Simplify right side
    783,869x = 1,312,300,840,249
  5. Step 5: Solve for x
    x = 1,312,300,840,249/783,869
  6. Step 6: Final answer
    x = 1,674,132.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.