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Finding the Third Proportional to 1,685,140.50 and 3,606,477

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Solution

The third proportional to 1,685,140.50 and 3,606,477 is: 7,718,452.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685,140.50 : 3,606,477 = 3,606,477 : x
  2. Step 2: Convert to fraction form
    1,685,140.50/3,606,477 = 3,606,477/x
  3. Step 3: Cross multiply
    1,685,140.50x = 3,606,477 × 3,606,477
  4. Step 4: Simplify right side
    1,685,140.50x = 13,006,676,351,529
  5. Step 5: Solve for x
    x = 13,006,676,351,529/1,685,140.50
  6. Step 6: Final answer
    x = 7,718,452.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.