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Finding the Third Proportional to 461,569 and 969,789

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Solution

The third proportional to 461,569 and 969,789 is: 2,037,595.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,569 : 969,789 = 969,789 : x
  2. Step 2: Convert to fraction form
    461,569/969,789 = 969,789/x
  3. Step 3: Cross multiply
    461,569x = 969,789 × 969,789
  4. Step 4: Simplify right side
    461,569x = 940,490,704,521
  5. Step 5: Solve for x
    x = 940,490,704,521/461,569
  6. Step 6: Final answer
    x = 2,037,595.04

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.