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Finding the Third Proportional to 652,324 and 918,614

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Solution

The third proportional to 652,324 and 918,614 is: 1,293,608.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,324 : 918,614 = 918,614 : x
  2. Step 2: Convert to fraction form
    652,324/918,614 = 918,614/x
  3. Step 3: Cross multiply
    652,324x = 918,614 × 918,614
  4. Step 4: Simplify right side
    652,324x = 843,851,680,996
  5. Step 5: Solve for x
    x = 843,851,680,996/652,324
  6. Step 6: Final answer
    x = 1,293,608.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.