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Finding the Third Proportional to 423,570 and 930,084

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Solution

The third proportional to 423,570 and 930,084 is: 2,042,298.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,570 : 930,084 = 930,084 : x
  2. Step 2: Convert to fraction form
    423,570/930,084 = 930,084/x
  3. Step 3: Cross multiply
    423,570x = 930,084 × 930,084
  4. Step 4: Simplify right side
    423,570x = 865,056,247,056
  5. Step 5: Solve for x
    x = 865,056,247,056/423,570
  6. Step 6: Final answer
    x = 2,042,298.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.