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Finding the Third Proportional to 734,895 and 1,102,342

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Solution

The third proportional to 734,895 and 1,102,342 is: 1,653,512.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,895 : 1,102,342 = 1,102,342 : x
  2. Step 2: Convert to fraction form
    734,895/1,102,342 = 1,102,342/x
  3. Step 3: Cross multiply
    734,895x = 1,102,342 × 1,102,342
  4. Step 4: Simplify right side
    734,895x = 1,215,157,884,964
  5. Step 5: Solve for x
    x = 1,215,157,884,964/734,895
  6. Step 6: Final answer
    x = 1,653,512.25

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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.