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Finding the Third Proportional to 653,624 and 999,243

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Solution

The third proportional to 653,624 and 999,243 is: 1,527,616.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,624 : 999,243 = 999,243 : x
  2. Step 2: Convert to fraction form
    653,624/999,243 = 999,243/x
  3. Step 3: Cross multiply
    653,624x = 999,243 × 999,243
  4. Step 4: Simplify right side
    653,624x = 998,486,573,049
  5. Step 5: Solve for x
    x = 998,486,573,049/653,624
  6. Step 6: Final answer
    x = 1,527,616.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.