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Finding the Third Proportional to 2,585,045 and 3,622,465

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Solution

The third proportional to 2,585,045 and 3,622,465 is: 5,076,218.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585,045 : 3,622,465 = 3,622,465 : x
  2. Step 2: Convert to fraction form
    2,585,045/3,622,465 = 3,622,465/x
  3. Step 3: Cross multiply
    2,585,045x = 3,622,465 × 3,622,465
  4. Step 4: Simplify right side
    2,585,045x = 13,122,252,676,225
  5. Step 5: Solve for x
    x = 13,122,252,676,225/2,585,045
  6. Step 6: Final answer
    x = 5,076,218.28

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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.