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Finding the Third Proportional to 855,414 and 1,195,931.25

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Solution

The third proportional to 855,414 and 1,195,931.25 is: 1,671,999.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    855,414 : 1,195,931.25 = 1,195,931.25 : x
  2. Step 2: Convert to fraction form
    855,414/1,195,931.25 = 1,195,931.25/x
  3. Step 3: Cross multiply
    855,414x = 1,195,931.25 × 1,195,931.25
  4. Step 4: Simplify right side
    855,414x = 1,430,251,554,726.56
  5. Step 5: Solve for x
    x = 1,430,251,554,726.56/855,414
  6. Step 6: Final answer
    x = 1,671,999.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.