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Finding the Third Proportional to 929,138 and 1,406,564

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Solution

The third proportional to 929,138 and 1,406,564 is: 2,129,309.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,138 : 1,406,564 = 1,406,564 : x
  2. Step 2: Convert to fraction form
    929,138/1,406,564 = 1,406,564/x
  3. Step 3: Cross multiply
    929,138x = 1,406,564 × 1,406,564
  4. Step 4: Simplify right side
    929,138x = 1,978,422,286,096
  5. Step 5: Solve for x
    x = 1,978,422,286,096/929,138
  6. Step 6: Final answer
    x = 2,129,309.41

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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.