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Finding the Third Proportional to 833,008 and 1,245,948

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Solution

The third proportional to 833,008 and 1,245,948 is: 1,863,591.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,008 : 1,245,948 = 1,245,948 : x
  2. Step 2: Convert to fraction form
    833,008/1,245,948 = 1,245,948/x
  3. Step 3: Cross multiply
    833,008x = 1,245,948 × 1,245,948
  4. Step 4: Simplify right side
    833,008x = 1,552,386,418,704
  5. Step 5: Solve for x
    x = 1,552,386,418,704/833,008
  6. Step 6: Final answer
    x = 1,863,591.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.