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Finding the Third Proportional to 570,713 and 884,923

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Solution

The third proportional to 570,713 and 884,923 is: 1,372,123.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,713 : 884,923 = 884,923 : x
  2. Step 2: Convert to fraction form
    570,713/884,923 = 884,923/x
  3. Step 3: Cross multiply
    570,713x = 884,923 × 884,923
  4. Step 4: Simplify right side
    570,713x = 783,088,715,929
  5. Step 5: Solve for x
    x = 783,088,715,929/570,713
  6. Step 6: Final answer
    x = 1,372,123.49

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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.