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Finding the Third Proportional to 3,546,784 and 5,503,146

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Solution

The third proportional to 3,546,784 and 5,503,146 is: 8,538,612.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546,784 : 5,503,146 = 5,503,146 : x
  2. Step 2: Convert to fraction form
    3,546,784/5,503,146 = 5,503,146/x
  3. Step 3: Cross multiply
    3,546,784x = 5,503,146 × 5,503,146
  4. Step 4: Simplify right side
    3,546,784x = 30,284,615,897,316
  5. Step 5: Solve for x
    x = 30,284,615,897,316/3,546,784
  6. Step 6: Final answer
    x = 8,538,612.98

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.