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Finding the Third Proportional to 666,918 and 1,463,458.50

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Solution

The third proportional to 666,918 and 1,463,458.50 is: 3,211,355.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,918 : 1,463,458.50 = 1,463,458.50 : x
  2. Step 2: Convert to fraction form
    666,918/1,463,458.50 = 1,463,458.50/x
  3. Step 3: Cross multiply
    666,918x = 1,463,458.50 × 1,463,458.50
  4. Step 4: Simplify right side
    666,918x = 2,141,710,781,222.25
  5. Step 5: Solve for x
    x = 2,141,710,781,222.25/666,918
  6. Step 6: Final answer
    x = 3,211,355.49

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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.