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Finding the Third Proportional to 838,094 and 1,297,452

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Solution

The third proportional to 838,094 and 1,297,452 is: 2,008,583.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,094 : 1,297,452 = 1,297,452 : x
  2. Step 2: Convert to fraction form
    838,094/1,297,452 = 1,297,452/x
  3. Step 3: Cross multiply
    838,094x = 1,297,452 × 1,297,452
  4. Step 4: Simplify right side
    838,094x = 1,683,381,692,304
  5. Step 5: Solve for x
    x = 1,683,381,692,304/838,094
  6. Step 6: Final answer
    x = 2,008,583.40

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Why These Related Problems?

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