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Finding the Third Proportional to 996,916 and 1,566,798

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Solution

The third proportional to 996,916 and 1,566,798 is: 2,462,450.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,916 : 1,566,798 = 1,566,798 : x
  2. Step 2: Convert to fraction form
    996,916/1,566,798 = 1,566,798/x
  3. Step 3: Cross multiply
    996,916x = 1,566,798 × 1,566,798
  4. Step 4: Simplify right side
    996,916x = 2,454,855,972,804
  5. Step 5: Solve for x
    x = 2,454,855,972,804/996,916
  6. Step 6: Final answer
    x = 2,462,450.17

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Why These Related Problems?

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