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Finding the Third Proportional to 1,685,143 and 3,606,481

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Solution

The third proportional to 1,685,143 and 3,606,481 is: 7,718,457.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685,143 : 3,606,481 = 3,606,481 : x
  2. Step 2: Convert to fraction form
    1,685,143/3,606,481 = 3,606,481/x
  3. Step 3: Cross multiply
    1,685,143x = 3,606,481 × 3,606,481
  4. Step 4: Simplify right side
    1,685,143x = 13,006,705,203,361
  5. Step 5: Solve for x
    x = 13,006,705,203,361/1,685,143
  6. Step 6: Final answer
    x = 7,718,457.84

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