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Finding the Third Proportional to 418,536 and 904,140

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Solution

The third proportional to 418,536 and 904,140 is: 1,953,163.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,536 : 904,140 = 904,140 : x
  2. Step 2: Convert to fraction form
    418,536/904,140 = 904,140/x
  3. Step 3: Cross multiply
    418,536x = 904,140 × 904,140
  4. Step 4: Simplify right side
    418,536x = 817,469,139,600
  5. Step 5: Solve for x
    x = 817,469,139,600/418,536
  6. Step 6: Final answer
    x = 1,953,163.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.