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Finding the Third Proportional to 1,422,825.75 and 2,186,726.63

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Solution

The third proportional to 1,422,825.75 and 2,186,726.63 is: 3,360,758.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422,825.75 : 2,186,726.63 = 2,186,726.63 : x
  2. Step 2: Convert to fraction form
    1,422,825.75/2,186,726.63 = 2,186,726.63/x
  3. Step 3: Cross multiply
    1,422,825.75x = 2,186,726.63 × 2,186,726.63
  4. Step 4: Simplify right side
    1,422,825.75x = 4,781,773,332,483.89
  5. Step 5: Solve for x
    x = 4,781,773,332,483.89/1,422,825.75
  6. Step 6: Final answer
    x = 3,360,758.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.