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Finding the Third Proportional to 450,042 and 984,146

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Solution

The third proportional to 450,042 and 984,146 is: 2,152,117.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,042 : 984,146 = 984,146 : x
  2. Step 2: Convert to fraction form
    450,042/984,146 = 984,146/x
  3. Step 3: Cross multiply
    450,042x = 984,146 × 984,146
  4. Step 4: Simplify right side
    450,042x = 968,543,349,316
  5. Step 5: Solve for x
    x = 968,543,349,316/450,042
  6. Step 6: Final answer
    x = 2,152,117.69

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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.