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Finding the Third Proportional to 838,087 and 1,297,442

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Solution

The third proportional to 838,087 and 1,297,442 is: 2,008,569.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,087 : 1,297,442 = 1,297,442 : x
  2. Step 2: Convert to fraction form
    838,087/1,297,442 = 1,297,442/x
  3. Step 3: Cross multiply
    838,087x = 1,297,442 × 1,297,442
  4. Step 4: Simplify right side
    838,087x = 1,683,355,743,364
  5. Step 5: Solve for x
    x = 1,683,355,743,364/838,087
  6. Step 6: Final answer
    x = 2,008,569.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.