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Finding the Third Proportional to 807,904 and 1,228,646

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Solution

The third proportional to 807,904 and 1,228,646 is: 1,868,502.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,904 : 1,228,646 = 1,228,646 : x
  2. Step 2: Convert to fraction form
    807,904/1,228,646 = 1,228,646/x
  3. Step 3: Cross multiply
    807,904x = 1,228,646 × 1,228,646
  4. Step 4: Simplify right side
    807,904x = 1,509,570,993,316
  5. Step 5: Solve for x
    x = 1,509,570,993,316/807,904
  6. Step 6: Final answer
    x = 1,868,502.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.