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Finding the Third Proportional to 997,711 and 1,521,476

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Solution

The third proportional to 997,711 and 1,521,476 is: 2,320,200.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,711 : 1,521,476 = 1,521,476 : x
  2. Step 2: Convert to fraction form
    997,711/1,521,476 = 1,521,476/x
  3. Step 3: Cross multiply
    997,711x = 1,521,476 × 1,521,476
  4. Step 4: Simplify right side
    997,711x = 2,314,889,218,576
  5. Step 5: Solve for x
    x = 2,314,889,218,576/997,711
  6. Step 6: Final answer
    x = 2,320,200.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.