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Finding the Third Proportional to 666,403.50 and 1,462,497

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Solution

The third proportional to 666,403.50 and 1,462,497 is: 3,209,613.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,403.50 : 1,462,497 = 1,462,497 : x
  2. Step 2: Convert to fraction form
    666,403.50/1,462,497 = 1,462,497/x
  3. Step 3: Cross multiply
    666,403.50x = 1,462,497 × 1,462,497
  4. Step 4: Simplify right side
    666,403.50x = 2,138,897,475,009
  5. Step 5: Solve for x
    x = 2,138,897,475,009/666,403.50
  6. Step 6: Final answer
    x = 3,209,613.21

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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.