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Finding the Third Proportional to 1,423,130.19 and 2,201,196.31

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Solution

The third proportional to 1,423,130.19 and 2,201,196.31 is: 3,404,653.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423,130.19 : 2,201,196.31 = 2,201,196.31 : x
  2. Step 2: Convert to fraction form
    1,423,130.19/2,201,196.31 = 2,201,196.31/x
  3. Step 3: Cross multiply
    1,423,130.19x = 2,201,196.31 × 2,201,196.31
  4. Step 4: Simplify right side
    1,423,130.19x = 4,845,265,206,163.60
  5. Step 5: Solve for x
    x = 4,845,265,206,163.60/1,423,130.19
  6. Step 6: Final answer
    x = 3,404,653.52

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.