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Finding the Third Proportional to 423,564 and 930,073

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Solution

The third proportional to 423,564 and 930,073 is: 2,042,278.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,564 : 930,073 = 930,073 : x
  2. Step 2: Convert to fraction form
    423,564/930,073 = 930,073/x
  3. Step 3: Cross multiply
    423,564x = 930,073 × 930,073
  4. Step 4: Simplify right side
    423,564x = 865,035,785,329
  5. Step 5: Solve for x
    x = 865,035,785,329/423,564
  6. Step 6: Final answer
    x = 2,042,278.82

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