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Finding the Third Proportional to 2,585,005 and 3,622,416

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Solution

The third proportional to 2,585,005 and 3,622,416 is: 5,076,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585,005 : 3,622,416 = 3,622,416 : x
  2. Step 2: Convert to fraction form
    2,585,005/3,622,416 = 3,622,416/x
  3. Step 3: Cross multiply
    2,585,005x = 3,622,416 × 3,622,416
  4. Step 4: Simplify right side
    2,585,005x = 13,121,897,677,056
  5. Step 5: Solve for x
    x = 13,121,897,677,056/2,585,005
  6. Step 6: Final answer
    x = 5,076,159.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.