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Finding the Third Proportional to 790,923 and 1,225,707

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Solution

The third proportional to 790,923 and 1,225,707 is: 1,899,499.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,923 : 1,225,707 = 1,225,707 : x
  2. Step 2: Convert to fraction form
    790,923/1,225,707 = 1,225,707/x
  3. Step 3: Cross multiply
    790,923x = 1,225,707 × 1,225,707
  4. Step 4: Simplify right side
    790,923x = 1,502,357,649,849
  5. Step 5: Solve for x
    x = 1,502,357,649,849/790,923
  6. Step 6: Final answer
    x = 1,899,499.26

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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.