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Finding the Third Proportional to 453,584 and 993,168

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Solution

The third proportional to 453,584 and 993,168 is: 2,174,641.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,584 : 993,168 = 993,168 : x
  2. Step 2: Convert to fraction form
    453,584/993,168 = 993,168/x
  3. Step 3: Cross multiply
    453,584x = 993,168 × 993,168
  4. Step 4: Simplify right side
    453,584x = 986,382,676,224
  5. Step 5: Solve for x
    x = 986,382,676,224/453,584
  6. Step 6: Final answer
    x = 2,174,641.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.