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Finding the Third Proportional to 758,304 and 1,638,216

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Solution

The third proportional to 758,304 and 1,638,216 is: 3,539,150.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,304 : 1,638,216 = 1,638,216 : x
  2. Step 2: Convert to fraction form
    758,304/1,638,216 = 1,638,216/x
  3. Step 3: Cross multiply
    758,304x = 1,638,216 × 1,638,216
  4. Step 4: Simplify right side
    758,304x = 2,683,751,662,656
  5. Step 5: Solve for x
    x = 2,683,751,662,656/758,304
  6. Step 6: Final answer
    x = 3,539,150.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.