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Finding the Third Proportional to 426,760 and 930,320

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Solution

The third proportional to 426,760 and 930,320 is: 2,028,060.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,760 : 930,320 = 930,320 : x
  2. Step 2: Convert to fraction form
    426,760/930,320 = 930,320/x
  3. Step 3: Cross multiply
    426,760x = 930,320 × 930,320
  4. Step 4: Simplify right side
    426,760x = 865,495,302,400
  5. Step 5: Solve for x
    x = 865,495,302,400/426,760
  6. Step 6: Final answer
    x = 2,028,060.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.