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Finding the Third Proportional to 698,813.75 and 1,497,287.50

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Solution

The third proportional to 698,813.75 and 1,497,287.50 is: 3,208,107.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,813.75 : 1,497,287.50 = 1,497,287.50 : x
  2. Step 2: Convert to fraction form
    698,813.75/1,497,287.50 = 1,497,287.50/x
  3. Step 3: Cross multiply
    698,813.75x = 1,497,287.50 × 1,497,287.50
  4. Step 4: Simplify right side
    698,813.75x = 2,241,869,857,656.25
  5. Step 5: Solve for x
    x = 2,241,869,857,656.25/698,813.75
  6. Step 6: Final answer
    x = 3,208,107.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.