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Finding the Third Proportional to 669,114 and 953,844

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Solution

The third proportional to 669,114 and 953,844 is: 1,359,735.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,114 : 953,844 = 953,844 : x
  2. Step 2: Convert to fraction form
    669,114/953,844 = 953,844/x
  3. Step 3: Cross multiply
    669,114x = 953,844 × 953,844
  4. Step 4: Simplify right side
    669,114x = 909,818,376,336
  5. Step 5: Solve for x
    x = 909,818,376,336/669,114
  6. Step 6: Final answer
    x = 1,359,735.97

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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.