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Finding the Third Proportional to 1,622,877.19 and 3,462,967.69

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Solution

The third proportional to 1,622,877.19 and 3,462,967.69 is: 7,389,434.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622,877.19 : 3,462,967.69 = 3,462,967.69 : x
  2. Step 2: Convert to fraction form
    1,622,877.19/3,462,967.69 = 3,462,967.69/x
  3. Step 3: Cross multiply
    1,622,877.19x = 3,462,967.69 × 3,462,967.69
  4. Step 4: Simplify right side
    1,622,877.19x = 11,992,145,204,669.10
  5. Step 5: Solve for x
    x = 11,992,145,204,669.10/1,622,877.19
  6. Step 6: Final answer
    x = 7,389,434.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.