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Finding the Third Proportional to 666,521 and 969,527

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Solution

The third proportional to 666,521 and 969,527 is: 1,410,282.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,521 : 969,527 = 969,527 : x
  2. Step 2: Convert to fraction form
    666,521/969,527 = 969,527/x
  3. Step 3: Cross multiply
    666,521x = 969,527 × 969,527
  4. Step 4: Simplify right side
    666,521x = 939,982,603,729
  5. Step 5: Solve for x
    x = 939,982,603,729/666,521
  6. Step 6: Final answer
    x = 1,410,282.05

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.