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Finding the Third Proportional to 570,722 and 884,931

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Solution

The third proportional to 570,722 and 884,931 is: 1,372,126.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,722 : 884,931 = 884,931 : x
  2. Step 2: Convert to fraction form
    570,722/884,931 = 884,931/x
  3. Step 3: Cross multiply
    570,722x = 884,931 × 884,931
  4. Step 4: Simplify right side
    570,722x = 783,102,874,761
  5. Step 5: Solve for x
    x = 783,102,874,761/570,722
  6. Step 6: Final answer
    x = 1,372,126.67

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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.