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Finding the Third Proportional to 424,085 and 928,378

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Solution

The third proportional to 424,085 and 928,378 is: 2,032,341.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,085 : 928,378 = 928,378 : x
  2. Step 2: Convert to fraction form
    424,085/928,378 = 928,378/x
  3. Step 3: Cross multiply
    424,085x = 928,378 × 928,378
  4. Step 4: Simplify right side
    424,085x = 861,885,710,884
  5. Step 5: Solve for x
    x = 861,885,710,884/424,085
  6. Step 6: Final answer
    x = 2,032,341.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.