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Finding the Third Proportional to 772,606 and 1,135,785

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Solution

The third proportional to 772,606 and 1,135,785 is: 1,669,683.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,606 : 1,135,785 = 1,135,785 : x
  2. Step 2: Convert to fraction form
    772,606/1,135,785 = 1,135,785/x
  3. Step 3: Cross multiply
    772,606x = 1,135,785 × 1,135,785
  4. Step 4: Simplify right side
    772,606x = 1,290,007,566,225
  5. Step 5: Solve for x
    x = 1,290,007,566,225/772,606
  6. Step 6: Final answer
    x = 1,669,683.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.