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Finding the Third Proportional to 645,840 and 996,012

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Solution

The third proportional to 645,840 and 996,012 is: 1,536,045.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,840 : 996,012 = 996,012 : x
  2. Step 2: Convert to fraction form
    645,840/996,012 = 996,012/x
  3. Step 3: Cross multiply
    645,840x = 996,012 × 996,012
  4. Step 4: Simplify right side
    645,840x = 992,039,904,144
  5. Step 5: Solve for x
    x = 992,039,904,144/645,840
  6. Step 6: Final answer
    x = 1,536,045.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.