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Finding the Third Proportional to 2,274,098 and 4,975,484.50

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Solution

The third proportional to 2,274,098 and 4,975,484.50 is: 10,885,830.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274,098 : 4,975,484.50 = 4,975,484.50 : x
  2. Step 2: Convert to fraction form
    2,274,098/4,975,484.50 = 4,975,484.50/x
  3. Step 3: Cross multiply
    2,274,098x = 4,975,484.50 × 4,975,484.50
  4. Step 4: Simplify right side
    2,274,098x = 24,755,446,009,740.25
  5. Step 5: Solve for x
    x = 24,755,446,009,740.25/2,274,098
  6. Step 6: Final answer
    x = 10,885,830.78

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.