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Finding the Third Proportional to 427,210 and 909,636

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Solution

The third proportional to 427,210 and 909,636 is: 1,936,840.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,210 : 909,636 = 909,636 : x
  2. Step 2: Convert to fraction form
    427,210/909,636 = 909,636/x
  3. Step 3: Cross multiply
    427,210x = 909,636 × 909,636
  4. Step 4: Simplify right side
    427,210x = 827,437,652,496
  5. Step 5: Solve for x
    x = 827,437,652,496/427,210
  6. Step 6: Final answer
    x = 1,936,840.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.