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Finding the Third Proportional to 426,432 and 919,290

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Solution

The third proportional to 426,432 and 919,290 is: 1,981,779.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,432 : 919,290 = 919,290 : x
  2. Step 2: Convert to fraction form
    426,432/919,290 = 919,290/x
  3. Step 3: Cross multiply
    426,432x = 919,290 × 919,290
  4. Step 4: Simplify right side
    426,432x = 845,094,104,100
  5. Step 5: Solve for x
    x = 845,094,104,100/426,432
  6. Step 6: Final answer
    x = 1,981,779.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.