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Finding the Third Proportional to 903,969 and 1,367,617

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Solution

The third proportional to 903,969 and 1,367,617 is: 2,069,071.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,969 : 1,367,617 = 1,367,617 : x
  2. Step 2: Convert to fraction form
    903,969/1,367,617 = 1,367,617/x
  3. Step 3: Cross multiply
    903,969x = 1,367,617 × 1,367,617
  4. Step 4: Simplify right side
    903,969x = 1,870,376,258,689
  5. Step 5: Solve for x
    x = 1,870,376,258,689/903,969
  6. Step 6: Final answer
    x = 2,069,071.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.