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Finding the Third Proportional to 1,462,110.75 and 3,206,709

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Solution

The third proportional to 1,462,110.75 and 3,206,709 is: 7,032,971.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462,110.75 : 3,206,709 = 3,206,709 : x
  2. Step 2: Convert to fraction form
    1,462,110.75/3,206,709 = 3,206,709/x
  3. Step 3: Cross multiply
    1,462,110.75x = 3,206,709 × 3,206,709
  4. Step 4: Simplify right side
    1,462,110.75x = 10,282,982,610,681
  5. Step 5: Solve for x
    x = 10,282,982,610,681/1,462,110.75
  6. Step 6: Final answer
    x = 7,032,971.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.