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Finding the Third Proportional to 4,100,430 and 6,516,846

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Solution

The third proportional to 4,100,430 and 6,516,846 is: 10,357,275.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100,430 : 6,516,846 = 6,516,846 : x
  2. Step 2: Convert to fraction form
    4,100,430/6,516,846 = 6,516,846/x
  3. Step 3: Cross multiply
    4,100,430x = 6,516,846 × 6,516,846
  4. Step 4: Simplify right side
    4,100,430x = 42,469,281,787,716
  5. Step 5: Solve for x
    x = 42,469,281,787,716/4,100,430
  6. Step 6: Final answer
    x = 10,357,275.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.