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Finding the Third Proportional to 2,255,824 and 3,495,222

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Solution

The third proportional to 2,255,824 and 3,495,222 is: 5,415,571.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255,824 : 3,495,222 = 3,495,222 : x
  2. Step 2: Convert to fraction form
    2,255,824/3,495,222 = 3,495,222/x
  3. Step 3: Cross multiply
    2,255,824x = 3,495,222 × 3,495,222
  4. Step 4: Simplify right side
    2,255,824x = 12,216,576,829,284
  5. Step 5: Solve for x
    x = 12,216,576,829,284/2,255,824
  6. Step 6: Final answer
    x = 5,415,571.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.