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Finding the Third Proportional to 820,615.50 and 1,298,371.50

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Solution

The third proportional to 820,615.50 and 1,298,371.50 is: 2,054,273.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,615.50 : 1,298,371.50 = 1,298,371.50 : x
  2. Step 2: Convert to fraction form
    820,615.50/1,298,371.50 = 1,298,371.50/x
  3. Step 3: Cross multiply
    820,615.50x = 1,298,371.50 × 1,298,371.50
  4. Step 4: Simplify right side
    820,615.50x = 1,685,768,552,012.25
  5. Step 5: Solve for x
    x = 1,685,768,552,012.25/820,615.50
  6. Step 6: Final answer
    x = 2,054,273.35

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.