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Finding the Third Proportional to 4,292,574 and 9,096,906

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Solution

The third proportional to 4,292,574 and 9,096,906 is: 19,278,339.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,292,574 : 9,096,906 = 9,096,906 : x
  2. Step 2: Convert to fraction form
    4,292,574/9,096,906 = 9,096,906/x
  3. Step 3: Cross multiply
    4,292,574x = 9,096,906 × 9,096,906
  4. Step 4: Simplify right side
    4,292,574x = 82,753,698,772,836
  5. Step 5: Solve for x
    x = 82,753,698,772,836/4,292,574
  6. Step 6: Final answer
    x = 19,278,339.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.