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Finding the Third Proportional to 742,319 and 1,589,614

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Solution

The third proportional to 742,319 and 1,589,614 is: 3,404,025.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,319 : 1,589,614 = 1,589,614 : x
  2. Step 2: Convert to fraction form
    742,319/1,589,614 = 1,589,614/x
  3. Step 3: Cross multiply
    742,319x = 1,589,614 × 1,589,614
  4. Step 4: Simplify right side
    742,319x = 2,526,872,668,996
  5. Step 5: Solve for x
    x = 2,526,872,668,996/742,319
  6. Step 6: Final answer
    x = 3,404,025.32

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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.