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Finding the Third Proportional to 597,256.03 and 1,294,134.47

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Solution

The third proportional to 597,256.03 and 1,294,134.47 is: 2,804,130.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,256.03 : 1,294,134.47 = 1,294,134.47 : x
  2. Step 2: Convert to fraction form
    597,256.03/1,294,134.47 = 1,294,134.47/x
  3. Step 3: Cross multiply
    597,256.03x = 1,294,134.47 × 1,294,134.47
  4. Step 4: Simplify right side
    597,256.03x = 1,674,784,023,206.84
  5. Step 5: Solve for x
    x = 1,674,784,023,206.84/597,256.03
  6. Step 6: Final answer
    x = 2,804,130.78

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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.