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Finding the Third Proportional to 1,442,265.75 and 3,077,564.63

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Solution

The third proportional to 1,442,265.75 and 3,077,564.63 is: 6,567,031.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442,265.75 : 3,077,564.63 = 3,077,564.63 : x
  2. Step 2: Convert to fraction form
    1,442,265.75/3,077,564.63 = 3,077,564.63/x
  3. Step 3: Cross multiply
    1,442,265.75x = 3,077,564.63 × 3,077,564.63
  4. Step 4: Simplify right side
    1,442,265.75x = 9,471,404,021,051.39
  5. Step 5: Solve for x
    x = 9,471,404,021,051.39/1,442,265.75
  6. Step 6: Final answer
    x = 6,567,031.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.