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Finding the Third Proportional to 607,138 and 938,082

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Solution

The third proportional to 607,138 and 938,082 is: 1,449,419.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,138 : 938,082 = 938,082 : x
  2. Step 2: Convert to fraction form
    607,138/938,082 = 938,082/x
  3. Step 3: Cross multiply
    607,138x = 938,082 × 938,082
  4. Step 4: Simplify right side
    607,138x = 879,997,838,724
  5. Step 5: Solve for x
    x = 879,997,838,724/607,138
  6. Step 6: Final answer
    x = 1,449,419.80

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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.