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Finding the Third Proportional to 2,134,851 and 4,648,753

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Solution

The third proportional to 2,134,851 and 4,648,753 is: 10,122,909.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134,851 : 4,648,753 = 4,648,753 : x
  2. Step 2: Convert to fraction form
    2,134,851/4,648,753 = 4,648,753/x
  3. Step 3: Cross multiply
    2,134,851x = 4,648,753 × 4,648,753
  4. Step 4: Simplify right side
    2,134,851x = 21,610,904,455,009
  5. Step 5: Solve for x
    x = 21,610,904,455,009/2,134,851
  6. Step 6: Final answer
    x = 10,122,909.96

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.