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Finding the Third Proportional to 651,100.50 and 1,352,097

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Solution

The third proportional to 651,100.50 and 1,352,097 is: 2,807,809.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,100.50 : 1,352,097 = 1,352,097 : x
  2. Step 2: Convert to fraction form
    651,100.50/1,352,097 = 1,352,097/x
  3. Step 3: Cross multiply
    651,100.50x = 1,352,097 × 1,352,097
  4. Step 4: Simplify right side
    651,100.50x = 1,828,166,297,409
  5. Step 5: Solve for x
    x = 1,828,166,297,409/651,100.50
  6. Step 6: Final answer
    x = 2,807,809.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.