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Finding the Third Proportional to 1,036,642.88 and 1,622,643.28

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Solution

The third proportional to 1,036,642.88 and 1,622,643.28 is: 2,539,901.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036,642.88 : 1,622,643.28 = 1,622,643.28 : x
  2. Step 2: Convert to fraction form
    1,036,642.88/1,622,643.28 = 1,622,643.28/x
  3. Step 3: Cross multiply
    1,036,642.88x = 1,622,643.28 × 1,622,643.28
  4. Step 4: Simplify right side
    1,036,642.88x = 2,632,971,218,185.77
  5. Step 5: Solve for x
    x = 2,632,971,218,185.77/1,036,642.88
  6. Step 6: Final answer
    x = 2,539,901.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.