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Finding the Third Proportional to 1,736,169.19 and 3,803,329.69

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Solution

The third proportional to 1,736,169.19 and 3,803,329.69 is: 8,331,743.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736,169.19 : 3,803,329.69 = 3,803,329.69 : x
  2. Step 2: Convert to fraction form
    1,736,169.19/3,803,329.69 = 3,803,329.69/x
  3. Step 3: Cross multiply
    1,736,169.19x = 3,803,329.69 × 3,803,329.69
  4. Step 4: Simplify right side
    1,736,169.19x = 14,465,316,711,818.85
  5. Step 5: Solve for x
    x = 14,465,316,711,818.85/1,736,169.19
  6. Step 6: Final answer
    x = 8,331,743.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.