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Finding the Third Proportional to 786,628.13 and 1,685,431.13

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Solution

The third proportional to 786,628.13 and 1,685,431.13 is: 3,611,208.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,628.13 : 1,685,431.13 = 1,685,431.13 : x
  2. Step 2: Convert to fraction form
    786,628.13/1,685,431.13 = 1,685,431.13/x
  3. Step 3: Cross multiply
    786,628.13x = 1,685,431.13 × 1,685,431.13
  4. Step 4: Simplify right side
    786,628.13x = 2,840,678,077,118.77
  5. Step 5: Solve for x
    x = 2,840,678,077,118.77/786,628.13
  6. Step 6: Final answer
    x = 3,611,208.38

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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.