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Finding the Third Proportional to 2,856,288 and 4,174,971

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Solution

The third proportional to 2,856,288 and 4,174,971 is: 6,102,459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856,288 : 4,174,971 = 4,174,971 : x
  2. Step 2: Convert to fraction form
    2,856,288/4,174,971 = 4,174,971/x
  3. Step 3: Cross multiply
    2,856,288x = 4,174,971 × 4,174,971
  4. Step 4: Simplify right side
    2,856,288x = 17,430,382,850,841
  5. Step 5: Solve for x
    x = 17,430,382,850,841/2,856,288
  6. Step 6: Final answer
    x = 6,102,459.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.