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Finding the Third Proportional to 564,546 and 1,210,956

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Solution

The third proportional to 564,546 and 1,210,956 is: 2,597,510.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,546 : 1,210,956 = 1,210,956 : x
  2. Step 2: Convert to fraction form
    564,546/1,210,956 = 1,210,956/x
  3. Step 3: Cross multiply
    564,546x = 1,210,956 × 1,210,956
  4. Step 4: Simplify right side
    564,546x = 1,466,414,433,936
  5. Step 5: Solve for x
    x = 1,466,414,433,936/564,546
  6. Step 6: Final answer
    x = 2,597,510.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.