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Finding the Third Proportional to 633,412.13 and 1,319,243.63

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Solution

The third proportional to 633,412.13 and 1,319,243.63 is: 2,747,664.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,412.13 : 1,319,243.63 = 1,319,243.63 : x
  2. Step 2: Convert to fraction form
    633,412.13/1,319,243.63 = 1,319,243.63/x
  3. Step 3: Cross multiply
    633,412.13x = 1,319,243.63 × 1,319,243.63
  4. Step 4: Simplify right side
    633,412.13x = 1,740,403,742,103.14
  5. Step 5: Solve for x
    x = 1,740,403,742,103.14/633,412.13
  6. Step 6: Final answer
    x = 2,747,664.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.