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Finding the Third Proportional to 932,160 and 1,986,336

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Solution

The third proportional to 932,160 and 1,986,336 is: 4,232,675.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,160 : 1,986,336 = 1,986,336 : x
  2. Step 2: Convert to fraction form
    932,160/1,986,336 = 1,986,336/x
  3. Step 3: Cross multiply
    932,160x = 1,986,336 × 1,986,336
  4. Step 4: Simplify right side
    932,160x = 3,945,530,704,896
  5. Step 5: Solve for x
    x = 3,945,530,704,896/932,160
  6. Step 6: Final answer
    x = 4,232,675.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.