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Finding the Third Proportional to 655,045 and 1,415,271

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Solution

The third proportional to 655,045 and 1,415,271 is: 3,057,792.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,045 : 1,415,271 = 1,415,271 : x
  2. Step 2: Convert to fraction form
    655,045/1,415,271 = 1,415,271/x
  3. Step 3: Cross multiply
    655,045x = 1,415,271 × 1,415,271
  4. Step 4: Simplify right side
    655,045x = 2,002,992,003,441
  5. Step 5: Solve for x
    x = 2,002,992,003,441/655,045
  6. Step 6: Final answer
    x = 3,057,792.98

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.