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Finding the Third Proportional to 922,807 and 1,444,691.50

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Solution

The third proportional to 922,807 and 1,444,691.50 is: 2,261,722.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,807 : 1,444,691.50 = 1,444,691.50 : x
  2. Step 2: Convert to fraction form
    922,807/1,444,691.50 = 1,444,691.50/x
  3. Step 3: Cross multiply
    922,807x = 1,444,691.50 × 1,444,691.50
  4. Step 4: Simplify right side
    922,807x = 2,087,133,530,172.25
  5. Step 5: Solve for x
    x = 2,087,133,530,172.25/922,807
  6. Step 6: Final answer
    x = 2,261,722.69

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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.