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Finding the Third Proportional to 932,966 and 1,485,255

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Solution

The third proportional to 932,966 and 1,485,255 is: 2,364,483.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,966 : 1,485,255 = 1,485,255 : x
  2. Step 2: Convert to fraction form
    932,966/1,485,255 = 1,485,255/x
  3. Step 3: Cross multiply
    932,966x = 1,485,255 × 1,485,255
  4. Step 4: Simplify right side
    932,966x = 2,205,982,415,025
  5. Step 5: Solve for x
    x = 2,205,982,415,025/932,966
  6. Step 6: Final answer
    x = 2,364,483.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.