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Finding the Third Proportional to 459,282.66 and 997,434

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Solution

The third proportional to 459,282.66 and 997,434 is: 2,166,148.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,282.66 : 997,434 = 997,434 : x
  2. Step 2: Convert to fraction form
    459,282.66/997,434 = 997,434/x
  3. Step 3: Cross multiply
    459,282.66x = 997,434 × 997,434
  4. Step 4: Simplify right side
    459,282.66x = 994,874,584,356
  5. Step 5: Solve for x
    x = 994,874,584,356/459,282.66
  6. Step 6: Final answer
    x = 2,166,148.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.