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Finding the Third Proportional to 734,654 and 1,135,228

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Solution

The third proportional to 734,654 and 1,135,228 is: 1,754,217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,654 : 1,135,228 = 1,135,228 : x
  2. Step 2: Convert to fraction form
    734,654/1,135,228 = 1,135,228/x
  3. Step 3: Cross multiply
    734,654x = 1,135,228 × 1,135,228
  4. Step 4: Simplify right side
    734,654x = 1,288,742,611,984
  5. Step 5: Solve for x
    x = 1,288,742,611,984/734,654
  6. Step 6: Final answer
    x = 1,754,217.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.