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Finding the Third Proportional to 611,027 and 924,404.50

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Solution

The third proportional to 611,027 and 924,404.50 is: 1,398,503.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,027 : 924,404.50 = 924,404.50 : x
  2. Step 2: Convert to fraction form
    611,027/924,404.50 = 924,404.50/x
  3. Step 3: Cross multiply
    611,027x = 924,404.50 × 924,404.50
  4. Step 4: Simplify right side
    611,027x = 854,523,679,620.25
  5. Step 5: Solve for x
    x = 854,523,679,620.25/611,027
  6. Step 6: Final answer
    x = 1,398,503.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.