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Finding the Third Proportional to 3,464,698 and 7,148,946

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Solution

The third proportional to 3,464,698 and 7,148,946 is: 14,750,904.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464,698 : 7,148,946 = 7,148,946 : x
  2. Step 2: Convert to fraction form
    3,464,698/7,148,946 = 7,148,946/x
  3. Step 3: Cross multiply
    3,464,698x = 7,148,946 × 7,148,946
  4. Step 4: Simplify right side
    3,464,698x = 51,107,428,910,916
  5. Step 5: Solve for x
    x = 51,107,428,910,916/3,464,698
  6. Step 6: Final answer
    x = 14,750,904.38

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.