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Finding the Third Proportional to 996,922 and 1,566,807

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Solution

The third proportional to 996,922 and 1,566,807 is: 2,462,463.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,922 : 1,566,807 = 1,566,807 : x
  2. Step 2: Convert to fraction form
    996,922/1,566,807 = 1,566,807/x
  3. Step 3: Cross multiply
    996,922x = 1,566,807 × 1,566,807
  4. Step 4: Simplify right side
    996,922x = 2,454,884,175,249
  5. Step 5: Solve for x
    x = 2,454,884,175,249/996,922
  6. Step 6: Final answer
    x = 2,462,463.64

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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.