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Finding the Third Proportional to 817,938 and 1,749,600

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Solution

The third proportional to 817,938 and 1,749,600 is: 3,742,459.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,938 : 1,749,600 = 1,749,600 : x
  2. Step 2: Convert to fraction form
    817,938/1,749,600 = 1,749,600/x
  3. Step 3: Cross multiply
    817,938x = 1,749,600 × 1,749,600
  4. Step 4: Simplify right side
    817,938x = 3,061,100,160,000
  5. Step 5: Solve for x
    x = 3,061,100,160,000/817,938
  6. Step 6: Final answer
    x = 3,742,459.89

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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.