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Finding the Third Proportional to 669,276 and 981,594

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Solution

The third proportional to 669,276 and 981,594 is: 1,439,655.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,276 : 981,594 = 981,594 : x
  2. Step 2: Convert to fraction form
    669,276/981,594 = 981,594/x
  3. Step 3: Cross multiply
    669,276x = 981,594 × 981,594
  4. Step 4: Simplify right side
    669,276x = 963,526,780,836
  5. Step 5: Solve for x
    x = 963,526,780,836/669,276
  6. Step 6: Final answer
    x = 1,439,655.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.