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Finding the Third Proportional to 3,790,464 and 8,210,784

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Solution

The third proportional to 3,790,464 and 8,210,784 is: 17,785,942.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790,464 : 8,210,784 = 8,210,784 : x
  2. Step 2: Convert to fraction form
    3,790,464/8,210,784 = 8,210,784/x
  3. Step 3: Cross multiply
    3,790,464x = 8,210,784 × 8,210,784
  4. Step 4: Simplify right side
    3,790,464x = 67,416,973,894,656
  5. Step 5: Solve for x
    x = 67,416,973,894,656/3,790,464
  6. Step 6: Final answer
    x = 17,785,942.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.