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Finding the Third Proportional to 1,298,516 and 1,940,506.50

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Solution

The third proportional to 1,298,516 and 1,940,506.50 is: 2,899,899.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298,516 : 1,940,506.50 = 1,940,506.50 : x
  2. Step 2: Convert to fraction form
    1,298,516/1,940,506.50 = 1,940,506.50/x
  3. Step 3: Cross multiply
    1,298,516x = 1,940,506.50 × 1,940,506.50
  4. Step 4: Simplify right side
    1,298,516x = 3,765,565,476,542.25
  5. Step 5: Solve for x
    x = 3,765,565,476,542.25/1,298,516
  6. Step 6: Final answer
    x = 2,899,899.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.