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Finding the Third Proportional to 652,606.50 and 1,414,066.50

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Solution

The third proportional to 652,606.50 and 1,414,066.50 is: 3,063,996.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,606.50 : 1,414,066.50 = 1,414,066.50 : x
  2. Step 2: Convert to fraction form
    652,606.50/1,414,066.50 = 1,414,066.50/x
  3. Step 3: Cross multiply
    652,606.50x = 1,414,066.50 × 1,414,066.50
  4. Step 4: Simplify right side
    652,606.50x = 1,999,584,066,422.25
  5. Step 5: Solve for x
    x = 1,999,584,066,422.25/652,606.50
  6. Step 6: Final answer
    x = 3,063,996.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.