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Finding the Third Proportional to 669,123 and 953,856

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Solution

The third proportional to 669,123 and 953,856 is: 1,359,751.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,123 : 953,856 = 953,856 : x
  2. Step 2: Convert to fraction form
    669,123/953,856 = 953,856/x
  3. Step 3: Cross multiply
    669,123x = 953,856 × 953,856
  4. Step 4: Simplify right side
    669,123x = 909,841,268,736
  5. Step 5: Solve for x
    x = 909,841,268,736/669,123
  6. Step 6: Final answer
    x = 1,359,751.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.