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Finding the Third Proportional to 646,983.50 and 1,360,896.50

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Solution

The third proportional to 646,983.50 and 1,360,896.50 is: 2,862,575.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,983.50 : 1,360,896.50 = 1,360,896.50 : x
  2. Step 2: Convert to fraction form
    646,983.50/1,360,896.50 = 1,360,896.50/x
  3. Step 3: Cross multiply
    646,983.50x = 1,360,896.50 × 1,360,896.50
  4. Step 4: Simplify right side
    646,983.50x = 1,852,039,283,712.25
  5. Step 5: Solve for x
    x = 1,852,039,283,712.25/646,983.50
  6. Step 6: Final answer
    x = 2,862,575.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.