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Finding the Third Proportional to 709,158 and 1,064,235

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Solution

The third proportional to 709,158 and 1,064,235 is: 1,597,099.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,158 : 1,064,235 = 1,064,235 : x
  2. Step 2: Convert to fraction form
    709,158/1,064,235 = 1,064,235/x
  3. Step 3: Cross multiply
    709,158x = 1,064,235 × 1,064,235
  4. Step 4: Simplify right side
    709,158x = 1,132,596,135,225
  5. Step 5: Solve for x
    x = 1,132,596,135,225/709,158
  6. Step 6: Final answer
    x = 1,597,099.85

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Why These Related Problems?

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