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Finding the Third Proportional to 423,792.84 and 1,000,215

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Solution

The third proportional to 423,792.84 and 1,000,215 is: 2,360,658.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,792.84 : 1,000,215 = 1,000,215 : x
  2. Step 2: Convert to fraction form
    423,792.84/1,000,215 = 1,000,215/x
  3. Step 3: Cross multiply
    423,792.84x = 1,000,215 × 1,000,215
  4. Step 4: Simplify right side
    423,792.84x = 1,000,430,046,225
  5. Step 5: Solve for x
    x = 1,000,430,046,225/423,792.84
  6. Step 6: Final answer
    x = 2,360,658.19

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.