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Finding the Third Proportional to 565,549 and 1,230,971

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Solution

The third proportional to 565,549 and 1,230,971 is: 2,679,325.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,549 : 1,230,971 = 1,230,971 : x
  2. Step 2: Convert to fraction form
    565,549/1,230,971 = 1,230,971/x
  3. Step 3: Cross multiply
    565,549x = 1,230,971 × 1,230,971
  4. Step 4: Simplify right side
    565,549x = 1,515,289,602,841
  5. Step 5: Solve for x
    x = 1,515,289,602,841/565,549
  6. Step 6: Final answer
    x = 2,679,325.05

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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.