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Finding the Third Proportional to 970,663.50 and 1,469,572.88

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Solution

The third proportional to 970,663.50 and 1,469,572.88 is: 2,224,915.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,663.50 : 1,469,572.88 = 1,469,572.88 : x
  2. Step 2: Convert to fraction form
    970,663.50/1,469,572.88 = 1,469,572.88/x
  3. Step 3: Cross multiply
    970,663.50x = 1,469,572.88 × 1,469,572.88
  4. Step 4: Simplify right side
    970,663.50x = 2,159,644,434,935.77
  5. Step 5: Solve for x
    x = 2,159,644,434,935.77/970,663.50
  6. Step 6: Final answer
    x = 2,224,915.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.