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Finding the Third Proportional to 734,788 and 1,113,254

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Solution

The third proportional to 734,788 and 1,113,254 is: 1,686,655.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,788 : 1,113,254 = 1,113,254 : x
  2. Step 2: Convert to fraction form
    734,788/1,113,254 = 1,113,254/x
  3. Step 3: Cross multiply
    734,788x = 1,113,254 × 1,113,254
  4. Step 4: Simplify right side
    734,788x = 1,239,334,468,516
  5. Step 5: Solve for x
    x = 1,239,334,468,516/734,788
  6. Step 6: Final answer
    x = 1,686,655.84

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.