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Finding the Third Proportional to 597,545 and 1,290,226

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Solution

The third proportional to 597,545 and 1,290,226 is: 2,785,870.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,545 : 1,290,226 = 1,290,226 : x
  2. Step 2: Convert to fraction form
    597,545/1,290,226 = 1,290,226/x
  3. Step 3: Cross multiply
    597,545x = 1,290,226 × 1,290,226
  4. Step 4: Simplify right side
    597,545x = 1,664,683,131,076
  5. Step 5: Solve for x
    x = 1,664,683,131,076/597,545
  6. Step 6: Final answer
    x = 2,785,870.74

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Why These Related Problems?

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