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Finding the Third Proportional to 570,712 and 884,922

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Solution

The third proportional to 570,712 and 884,922 is: 1,372,122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,712 : 884,922 = 884,922 : x
  2. Step 2: Convert to fraction form
    570,712/884,922 = 884,922/x
  3. Step 3: Cross multiply
    570,712x = 884,922 × 884,922
  4. Step 4: Simplify right side
    570,712x = 783,086,946,084
  5. Step 5: Solve for x
    x = 783,086,946,084/570,712
  6. Step 6: Final answer
    x = 1,372,122.80

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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.