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Finding the Third Proportional to 641,009 and 1,367,810.50

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Solution

The third proportional to 641,009 and 1,367,810.50 is: 2,918,688.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,009 : 1,367,810.50 = 1,367,810.50 : x
  2. Step 2: Convert to fraction form
    641,009/1,367,810.50 = 1,367,810.50/x
  3. Step 3: Cross multiply
    641,009x = 1,367,810.50 × 1,367,810.50
  4. Step 4: Simplify right side
    641,009x = 1,870,905,563,910.25
  5. Step 5: Solve for x
    x = 1,870,905,563,910.25/641,009
  6. Step 6: Final answer
    x = 2,918,688.45

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.