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Finding the Third Proportional to 814,038 and 1,196,670

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Solution

The third proportional to 814,038 and 1,196,670 is: 1,759,155.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,038 : 1,196,670 = 1,196,670 : x
  2. Step 2: Convert to fraction form
    814,038/1,196,670 = 1,196,670/x
  3. Step 3: Cross multiply
    814,038x = 1,196,670 × 1,196,670
  4. Step 4: Simplify right side
    814,038x = 1,432,019,088,900
  5. Step 5: Solve for x
    x = 1,432,019,088,900/814,038
  6. Step 6: Final answer
    x = 1,759,155.09

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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.