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Finding the Third Proportional to 734,944 and 1,102,420

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Solution

The third proportional to 734,944 and 1,102,420 is: 1,653,636.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,944 : 1,102,420 = 1,102,420 : x
  2. Step 2: Convert to fraction form
    734,944/1,102,420 = 1,102,420/x
  3. Step 3: Cross multiply
    734,944x = 1,102,420 × 1,102,420
  4. Step 4: Simplify right side
    734,944x = 1,215,329,856,400
  5. Step 5: Solve for x
    x = 1,215,329,856,400/734,944
  6. Step 6: Final answer
    x = 1,653,636.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.