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Finding the Third Proportional to 649,404.84 and 1,018,718.02

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Solution

The third proportional to 649,404.84 and 1,018,718.02 is: 1,598,057.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,404.84 : 1,018,718.02 = 1,018,718.02 : x
  2. Step 2: Convert to fraction form
    649,404.84/1,018,718.02 = 1,018,718.02/x
  3. Step 3: Cross multiply
    649,404.84x = 1,018,718.02 × 1,018,718.02
  4. Step 4: Simplify right side
    649,404.84x = 1,037,786,395,358.94
  5. Step 5: Solve for x
    x = 1,037,786,395,358.94/649,404.84
  6. Step 6: Final answer
    x = 1,598,057.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.