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Finding the Third Proportional to 984,170 and 1,607,047

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Solution

The third proportional to 984,170 and 1,607,047 is: 2,624,140.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,170 : 1,607,047 = 1,607,047 : x
  2. Step 2: Convert to fraction form
    984,170/1,607,047 = 1,607,047/x
  3. Step 3: Cross multiply
    984,170x = 1,607,047 × 1,607,047
  4. Step 4: Simplify right side
    984,170x = 2,582,600,060,209
  5. Step 5: Solve for x
    x = 2,582,600,060,209/984,170
  6. Step 6: Final answer
    x = 2,624,140.20

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.