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Finding the Third Proportional to 783,948.38 and 1,662,097.22

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Solution

The third proportional to 783,948.38 and 1,662,097.22 is: 3,523,914.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,948.38 : 1,662,097.22 = 1,662,097.22 : x
  2. Step 2: Convert to fraction form
    783,948.38/1,662,097.22 = 1,662,097.22/x
  3. Step 3: Cross multiply
    783,948.38x = 1,662,097.22 × 1,662,097.22
  4. Step 4: Simplify right side
    783,948.38x = 2,762,567,164,576.49
  5. Step 5: Solve for x
    x = 2,762,567,164,576.49/783,948.38
  6. Step 6: Final answer
    x = 3,523,914.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.