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Finding the Third Proportional to 1,240,948.69 and 2,701,639.83

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Solution

The third proportional to 1,240,948.69 and 2,701,639.83 is: 5,881,675.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240,948.69 : 2,701,639.83 = 2,701,639.83 : x
  2. Step 2: Convert to fraction form
    1,240,948.69/2,701,639.83 = 2,701,639.83/x
  3. Step 3: Cross multiply
    1,240,948.69x = 2,701,639.83 × 2,701,639.83
  4. Step 4: Simplify right side
    1,240,948.69x = 7,298,857,760,911.28
  5. Step 5: Solve for x
    x = 7,298,857,760,911.28/1,240,948.69
  6. Step 6: Final answer
    x = 5,881,675.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.