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Finding the Third Proportional to 1,442,417.63 and 2,284,032.09

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Solution

The third proportional to 1,442,417.63 and 2,284,032.09 is: 3,616,707.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442,417.63 : 2,284,032.09 = 2,284,032.09 : x
  2. Step 2: Convert to fraction form
    1,442,417.63/2,284,032.09 = 2,284,032.09/x
  3. Step 3: Cross multiply
    1,442,417.63x = 2,284,032.09 × 2,284,032.09
  4. Step 4: Simplify right side
    1,442,417.63x = 5,216,802,605,280.01
  5. Step 5: Solve for x
    x = 5,216,802,605,280.01/1,442,417.63
  6. Step 6: Final answer
    x = 3,616,707.47

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.