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Finding the Third Proportional to 1,744,421.63 and 3,695,976

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Solution

The third proportional to 1,744,421.63 and 3,695,976 is: 7,830,812.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744,421.63 : 3,695,976 = 3,695,976 : x
  2. Step 2: Convert to fraction form
    1,744,421.63/3,695,976 = 3,695,976/x
  3. Step 3: Cross multiply
    1,744,421.63x = 3,695,976 × 3,695,976
  4. Step 4: Simplify right side
    1,744,421.63x = 13,660,238,592,576
  5. Step 5: Solve for x
    x = 13,660,238,592,576/1,744,421.63
  6. Step 6: Final answer
    x = 7,830,812.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.