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Finding the Third Proportional to 813,960 and 1,196,584

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Solution

The third proportional to 813,960 and 1,196,584 is: 1,759,070.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,960 : 1,196,584 = 1,196,584 : x
  2. Step 2: Convert to fraction form
    813,960/1,196,584 = 1,196,584/x
  3. Step 3: Cross multiply
    813,960x = 1,196,584 × 1,196,584
  4. Step 4: Simplify right side
    813,960x = 1,431,813,269,056
  5. Step 5: Solve for x
    x = 1,431,813,269,056/813,960
  6. Step 6: Final answer
    x = 1,759,070.80

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