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Finding the Third Proportional to 1,644,971.63 and 3,607,723.13

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Solution

The third proportional to 1,644,971.63 and 3,607,723.13 is: 7,912,395.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644,971.63 : 3,607,723.13 = 3,607,723.13 : x
  2. Step 2: Convert to fraction form
    1,644,971.63/3,607,723.13 = 3,607,723.13/x
  3. Step 3: Cross multiply
    1,644,971.63x = 3,607,723.13 × 3,607,723.13
  4. Step 4: Simplify right side
    1,644,971.63x = 13,015,666,146,659.77
  5. Step 5: Solve for x
    x = 13,015,666,146,659.77/1,644,971.63
  6. Step 6: Final answer
    x = 7,912,395.54

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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.