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Finding the Third Proportional to 459,162.84 and 1,072,223.16

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Solution

The third proportional to 459,162.84 and 1,072,223.16 is: 2,503,823.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,162.84 : 1,072,223.16 = 1,072,223.16 : x
  2. Step 2: Convert to fraction form
    459,162.84/1,072,223.16 = 1,072,223.16/x
  3. Step 3: Cross multiply
    459,162.84x = 1,072,223.16 × 1,072,223.16
  4. Step 4: Simplify right side
    459,162.84x = 1,149,662,496,798.71
  5. Step 5: Solve for x
    x = 1,149,662,496,798.71/459,162.84
  6. Step 6: Final answer
    x = 2,503,823.02

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.