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Finding the Third Proportional to 1,456,029.42 and 2,284,201.90

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Solution

The third proportional to 1,456,029.42 and 2,284,201.90 is: 3,583,429.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456,029.42 : 2,284,201.90 = 2,284,201.90 : x
  2. Step 2: Convert to fraction form
    1,456,029.42/2,284,201.90 = 2,284,201.90/x
  3. Step 3: Cross multiply
    1,456,029.42x = 2,284,201.90 × 2,284,201.90
  4. Step 4: Simplify right side
    1,456,029.42x = 5,217,578,312,825.48
  5. Step 5: Solve for x
    x = 5,217,578,312,825.48/1,456,029.42
  6. Step 6: Final answer
    x = 3,583,429.18

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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.