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Finding the Third Proportional to 864,617.50 and 1,299,710.25

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Solution

The third proportional to 864,617.50 and 1,299,710.25 is: 1,953,750.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,617.50 : 1,299,710.25 = 1,299,710.25 : x
  2. Step 2: Convert to fraction form
    864,617.50/1,299,710.25 = 1,299,710.25/x
  3. Step 3: Cross multiply
    864,617.50x = 1,299,710.25 × 1,299,710.25
  4. Step 4: Simplify right side
    864,617.50x = 1,689,246,733,955.06
  5. Step 5: Solve for x
    x = 1,689,246,733,955.06/864,617.50
  6. Step 6: Final answer
    x = 1,953,750.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.