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Finding the Third Proportional to 734,037 and 1,069,101

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Solution

The third proportional to 734,037 and 1,069,101 is: 1,557,110.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,037 : 1,069,101 = 1,069,101 : x
  2. Step 2: Convert to fraction form
    734,037/1,069,101 = 1,069,101/x
  3. Step 3: Cross multiply
    734,037x = 1,069,101 × 1,069,101
  4. Step 4: Simplify right side
    734,037x = 1,142,976,948,201
  5. Step 5: Solve for x
    x = 1,142,976,948,201/734,037
  6. Step 6: Final answer
    x = 1,557,110.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.