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Finding the Third Proportional to 4,540,968 and 6,830,580

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Solution

The third proportional to 4,540,968 and 6,830,580 is: 10,274,642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,540,968 : 6,830,580 = 6,830,580 : x
  2. Step 2: Convert to fraction form
    4,540,968/6,830,580 = 6,830,580/x
  3. Step 3: Cross multiply
    4,540,968x = 6,830,580 × 6,830,580
  4. Step 4: Simplify right side
    4,540,968x = 46,656,823,136,400
  5. Step 5: Solve for x
    x = 46,656,823,136,400/4,540,968
  6. Step 6: Final answer
    x = 10,274,642.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.