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Finding the Third Proportional to 784,832 and 1,243,584

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Solution

The third proportional to 784,832 and 1,243,584 is: 1,970,486.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,832 : 1,243,584 = 1,243,584 : x
  2. Step 2: Convert to fraction form
    784,832/1,243,584 = 1,243,584/x
  3. Step 3: Cross multiply
    784,832x = 1,243,584 × 1,243,584
  4. Step 4: Simplify right side
    784,832x = 1,546,501,165,056
  5. Step 5: Solve for x
    x = 1,546,501,165,056/784,832
  6. Step 6: Final answer
    x = 1,970,486.89

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.