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Finding the Third Proportional to 3,097,514 and 4,692,963

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Solution

The third proportional to 3,097,514 and 4,692,963 is: 7,110,186.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097,514 : 4,692,963 = 4,692,963 : x
  2. Step 2: Convert to fraction form
    3,097,514/4,692,963 = 4,692,963/x
  3. Step 3: Cross multiply
    3,097,514x = 4,692,963 × 4,692,963
  4. Step 4: Simplify right side
    3,097,514x = 22,023,901,719,369
  5. Step 5: Solve for x
    x = 22,023,901,719,369/3,097,514
  6. Step 6: Final answer
    x = 7,110,186.34

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.