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Finding the Third Proportional to 619,266.94 and 1,024,903.13

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Solution

The third proportional to 619,266.94 and 1,024,903.13 is: 1,696,241.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,266.94 : 1,024,903.13 = 1,024,903.13 : x
  2. Step 2: Convert to fraction form
    619,266.94/1,024,903.13 = 1,024,903.13/x
  3. Step 3: Cross multiply
    619,266.94x = 1,024,903.13 × 1,024,903.13
  4. Step 4: Simplify right side
    619,266.94x = 1,050,426,415,634.77
  5. Step 5: Solve for x
    x = 1,050,426,415,634.77/619,266.94
  6. Step 6: Final answer
    x = 1,696,241.72

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.