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Finding the Third Proportional to 996,906 and 1,566,783

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Solution

The third proportional to 996,906 and 1,566,783 is: 2,462,427.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,906 : 1,566,783 = 1,566,783 : x
  2. Step 2: Convert to fraction form
    996,906/1,566,783 = 1,566,783/x
  3. Step 3: Cross multiply
    996,906x = 1,566,783 × 1,566,783
  4. Step 4: Simplify right side
    996,906x = 2,454,808,969,089
  5. Step 5: Solve for x
    x = 2,454,808,969,089/996,906
  6. Step 6: Final answer
    x = 2,462,427.72

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.