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Finding the Third Proportional to 383,557 and 834,038

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Solution

The third proportional to 383,557 and 834,038 is: 1,813,601.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,557 : 834,038 = 834,038 : x
  2. Step 2: Convert to fraction form
    383,557/834,038 = 834,038/x
  3. Step 3: Cross multiply
    383,557x = 834,038 × 834,038
  4. Step 4: Simplify right side
    383,557x = 695,619,385,444
  5. Step 5: Solve for x
    x = 695,619,385,444/383,557
  6. Step 6: Final answer
    x = 1,813,601.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.