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Finding the Third Proportional to 2,952,525.09 and 4,222,116.14

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Solution

The third proportional to 2,952,525.09 and 4,222,116.14 is: 6,037,633.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952,525.09 : 4,222,116.14 = 4,222,116.14 : x
  2. Step 2: Convert to fraction form
    2,952,525.09/4,222,116.14 = 4,222,116.14/x
  3. Step 3: Cross multiply
    2,952,525.09x = 4,222,116.14 × 4,222,116.14
  4. Step 4: Simplify right side
    2,952,525.09x = 17,826,264,704,926.14
  5. Step 5: Solve for x
    x = 17,826,264,704,926.14/2,952,525.09
  6. Step 6: Final answer
    x = 6,037,633.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.