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Finding the Third Proportional to 594,135 and 1,282,964.06

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Solution

The third proportional to 594,135 and 1,282,964.06 is: 2,770,408.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,135 : 1,282,964.06 = 1,282,964.06 : x
  2. Step 2: Convert to fraction form
    594,135/1,282,964.06 = 1,282,964.06/x
  3. Step 3: Cross multiply
    594,135x = 1,282,964.06 × 1,282,964.06
  4. Step 4: Simplify right side
    594,135x = 1,645,996,785,666.50
  5. Step 5: Solve for x
    x = 1,645,996,785,666.50/594,135
  6. Step 6: Final answer
    x = 2,770,408.72

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.