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Finding the Third Proportional to 676,983.50 and 1,459,764

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Solution

The third proportional to 676,983.50 and 1,459,764 is: 3,147,655.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,983.50 : 1,459,764 = 1,459,764 : x
  2. Step 2: Convert to fraction form
    676,983.50/1,459,764 = 1,459,764/x
  3. Step 3: Cross multiply
    676,983.50x = 1,459,764 × 1,459,764
  4. Step 4: Simplify right side
    676,983.50x = 2,130,910,935,696
  5. Step 5: Solve for x
    x = 2,130,910,935,696/676,983.50
  6. Step 6: Final answer
    x = 3,147,655.65

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Why These Related Problems?

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