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Finding the Third Proportional to 1,101,971 and 1,702,826.25

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Solution

The third proportional to 1,101,971 and 1,702,826.25 is: 2,631,300.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101,971 : 1,702,826.25 = 1,702,826.25 : x
  2. Step 2: Convert to fraction form
    1,101,971/1,702,826.25 = 1,702,826.25/x
  3. Step 3: Cross multiply
    1,101,971x = 1,702,826.25 × 1,702,826.25
  4. Step 4: Simplify right side
    1,101,971x = 2,899,617,237,689.06
  5. Step 5: Solve for x
    x = 2,899,617,237,689.06/1,101,971
  6. Step 6: Final answer
    x = 2,631,300.86

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Why These Related Problems?

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