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Finding the Third Proportional to 1,970,464 and 4,255,280

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Solution

The third proportional to 1,970,464 and 4,255,280 is: 9,189,413.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970,464 : 4,255,280 = 4,255,280 : x
  2. Step 2: Convert to fraction form
    1,970,464/4,255,280 = 4,255,280/x
  3. Step 3: Cross multiply
    1,970,464x = 4,255,280 × 4,255,280
  4. Step 4: Simplify right side
    1,970,464x = 18,107,407,878,400
  5. Step 5: Solve for x
    x = 18,107,407,878,400/1,970,464
  6. Step 6: Final answer
    x = 9,189,413.19

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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.