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Finding the Third Proportional to 1,384,328.25 and 2,095,618.50

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Solution

The third proportional to 1,384,328.25 and 2,095,618.50 is: 3,172,381.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384,328.25 : 2,095,618.50 = 2,095,618.50 : x
  2. Step 2: Convert to fraction form
    1,384,328.25/2,095,618.50 = 2,095,618.50/x
  3. Step 3: Cross multiply
    1,384,328.25x = 2,095,618.50 × 2,095,618.50
  4. Step 4: Simplify right side
    1,384,328.25x = 4,391,616,897,542.25
  5. Step 5: Solve for x
    x = 4,391,616,897,542.25/1,384,328.25
  6. Step 6: Final answer
    x = 3,172,381.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.