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Finding the Third Proportional to 475,936 and 1,038,692

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Solution

The third proportional to 475,936 and 1,038,692 is: 2,266,861.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,936 : 1,038,692 = 1,038,692 : x
  2. Step 2: Convert to fraction form
    475,936/1,038,692 = 1,038,692/x
  3. Step 3: Cross multiply
    475,936x = 1,038,692 × 1,038,692
  4. Step 4: Simplify right side
    475,936x = 1,078,881,070,864
  5. Step 5: Solve for x
    x = 1,078,881,070,864/475,936
  6. Step 6: Final answer
    x = 2,266,861.66

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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.