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Finding the Third Proportional to 843,294 and 1,852,476

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Solution

The third proportional to 843,294 and 1,852,476 is: 4,069,360.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,294 : 1,852,476 = 1,852,476 : x
  2. Step 2: Convert to fraction form
    843,294/1,852,476 = 1,852,476/x
  3. Step 3: Cross multiply
    843,294x = 1,852,476 × 1,852,476
  4. Step 4: Simplify right side
    843,294x = 3,431,667,330,576
  5. Step 5: Solve for x
    x = 3,431,667,330,576/843,294
  6. Step 6: Final answer
    x = 4,069,360.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.