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Finding the Third Proportional to 786,856.78 and 1,699,314.19

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Solution

The third proportional to 786,856.78 and 1,699,314.19 is: 3,669,878.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,856.78 : 1,699,314.19 = 1,699,314.19 : x
  2. Step 2: Convert to fraction form
    786,856.78/1,699,314.19 = 1,699,314.19/x
  3. Step 3: Cross multiply
    786,856.78x = 1,699,314.19 × 1,699,314.19
  4. Step 4: Simplify right side
    786,856.78x = 2,887,668,707,838.79
  5. Step 5: Solve for x
    x = 2,887,668,707,838.79/786,856.78
  6. Step 6: Final answer
    x = 3,669,878.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.