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Finding the Third Proportional to 611,361 and 1,438,506

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Solution

The third proportional to 611,361 and 1,438,506 is: 3,384,742.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,361 : 1,438,506 = 1,438,506 : x
  2. Step 2: Convert to fraction form
    611,361/1,438,506 = 1,438,506/x
  3. Step 3: Cross multiply
    611,361x = 1,438,506 × 1,438,506
  4. Step 4: Simplify right side
    611,361x = 2,069,299,512,036
  5. Step 5: Solve for x
    x = 2,069,299,512,036/611,361
  6. Step 6: Final answer
    x = 3,384,742.42

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.