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Finding the Third Proportional to 947,497.50 and 1,457,842.50

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Solution

The third proportional to 947,497.50 and 1,457,842.50 is: 2,243,071.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,497.50 : 1,457,842.50 = 1,457,842.50 : x
  2. Step 2: Convert to fraction form
    947,497.50/1,457,842.50 = 1,457,842.50/x
  3. Step 3: Cross multiply
    947,497.50x = 1,457,842.50 × 1,457,842.50
  4. Step 4: Simplify right side
    947,497.50x = 2,125,304,754,806.25
  5. Step 5: Solve for x
    x = 2,125,304,754,806.25/947,497.50
  6. Step 6: Final answer
    x = 2,243,071.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.