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Finding the Third Proportional to 427,209 and 909,633

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Solution

The third proportional to 427,209 and 909,633 is: 1,936,832.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,209 : 909,633 = 909,633 : x
  2. Step 2: Convert to fraction form
    427,209/909,633 = 909,633/x
  3. Step 3: Cross multiply
    427,209x = 909,633 × 909,633
  4. Step 4: Simplify right side
    427,209x = 827,432,194,689
  5. Step 5: Solve for x
    x = 827,432,194,689/427,209
  6. Step 6: Final answer
    x = 1,936,832.31

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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.