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Finding the Third Proportional to 643,137 and 1,371,706.50

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Solution

The third proportional to 643,137 and 1,371,706.50 is: 2,925,626.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,137 : 1,371,706.50 = 1,371,706.50 : x
  2. Step 2: Convert to fraction form
    643,137/1,371,706.50 = 1,371,706.50/x
  3. Step 3: Cross multiply
    643,137x = 1,371,706.50 × 1,371,706.50
  4. Step 4: Simplify right side
    643,137x = 1,881,578,722,142.25
  5. Step 5: Solve for x
    x = 1,881,578,722,142.25/643,137
  6. Step 6: Final answer
    x = 2,925,626.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.