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Finding the Third Proportional to 524,984.63 and 1,105,984.13

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Solution

The third proportional to 524,984.63 and 1,105,984.13 is: 2,329,974.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,984.63 : 1,105,984.13 = 1,105,984.13 : x
  2. Step 2: Convert to fraction form
    524,984.63/1,105,984.13 = 1,105,984.13/x
  3. Step 3: Cross multiply
    524,984.63x = 1,105,984.13 × 1,105,984.13
  4. Step 4: Simplify right side
    524,984.63x = 1,223,200,884,752.02
  5. Step 5: Solve for x
    x = 1,223,200,884,752.02/524,984.63
  6. Step 6: Final answer
    x = 2,329,974.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.