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Finding the Third Proportional to 1,516,251.66 and 3,298,223.81

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Solution

The third proportional to 1,516,251.66 and 3,298,223.81 is: 7,174,455.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516,251.66 : 3,298,223.81 = 3,298,223.81 : x
  2. Step 2: Convert to fraction form
    1,516,251.66/3,298,223.81 = 3,298,223.81/x
  3. Step 3: Cross multiply
    1,516,251.66x = 3,298,223.81 × 3,298,223.81
  4. Step 4: Simplify right side
    1,516,251.66x = 10,878,280,317,342.04
  5. Step 5: Solve for x
    x = 10,878,280,317,342.04/1,516,251.66
  6. Step 6: Final answer
    x = 7,174,455.69

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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.