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Finding the Third Proportional to 2,056,129 and 4,455,464

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Solution

The third proportional to 2,056,129 and 4,455,464 is: 9,654,627.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056,129 : 4,455,464 = 4,455,464 : x
  2. Step 2: Convert to fraction form
    2,056,129/4,455,464 = 4,455,464/x
  3. Step 3: Cross multiply
    2,056,129x = 4,455,464 × 4,455,464
  4. Step 4: Simplify right side
    2,056,129x = 19,851,159,455,296
  5. Step 5: Solve for x
    x = 19,851,159,455,296/2,056,129
  6. Step 6: Final answer
    x = 9,654,627.44

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.