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Finding the Third Proportional to 742,146 and 1,589,232

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Solution

The third proportional to 742,146 and 1,589,232 is: 3,403,182.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,146 : 1,589,232 = 1,589,232 : x
  2. Step 2: Convert to fraction form
    742,146/1,589,232 = 1,589,232/x
  3. Step 3: Cross multiply
    742,146x = 1,589,232 × 1,589,232
  4. Step 4: Simplify right side
    742,146x = 2,525,658,349,824
  5. Step 5: Solve for x
    x = 2,525,658,349,824/742,146
  6. Step 6: Final answer
    x = 3,403,182.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.