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Finding the Third Proportional to 975,869 and 1,522,827

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Solution

The third proportional to 975,869 and 1,522,827 is: 2,376,345.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,869 : 1,522,827 = 1,522,827 : x
  2. Step 2: Convert to fraction form
    975,869/1,522,827 = 1,522,827/x
  3. Step 3: Cross multiply
    975,869x = 1,522,827 × 1,522,827
  4. Step 4: Simplify right side
    975,869x = 2,319,002,071,929
  5. Step 5: Solve for x
    x = 2,319,002,071,929/975,869
  6. Step 6: Final answer
    x = 2,376,345.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.