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Finding the Third Proportional to 709,848 and 1,072,164

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Solution

The third proportional to 709,848 and 1,072,164 is: 1,619,410.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,848 : 1,072,164 = 1,072,164 : x
  2. Step 2: Convert to fraction form
    709,848/1,072,164 = 1,072,164/x
  3. Step 3: Cross multiply
    709,848x = 1,072,164 × 1,072,164
  4. Step 4: Simplify right side
    709,848x = 1,149,535,642,896
  5. Step 5: Solve for x
    x = 1,149,535,642,896/709,848
  6. Step 6: Final answer
    x = 1,619,410.98

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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.