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Finding the Third Proportional to 1,746,922.50 and 3,703,797

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Solution

The third proportional to 1,746,922.50 and 3,703,797 is: 7,852,730.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746,922.50 : 3,703,797 = 3,703,797 : x
  2. Step 2: Convert to fraction form
    1,746,922.50/3,703,797 = 3,703,797/x
  3. Step 3: Cross multiply
    1,746,922.50x = 3,703,797 × 3,703,797
  4. Step 4: Simplify right side
    1,746,922.50x = 13,718,112,217,209
  5. Step 5: Solve for x
    x = 13,718,112,217,209/1,746,922.50
  6. Step 6: Final answer
    x = 7,852,730.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.