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Finding the Third Proportional to 597,330 and 1,264,617

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Solution

The third proportional to 597,330 and 1,264,617 is: 2,677,341.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,330 : 1,264,617 = 1,264,617 : x
  2. Step 2: Convert to fraction form
    597,330/1,264,617 = 1,264,617/x
  3. Step 3: Cross multiply
    597,330x = 1,264,617 × 1,264,617
  4. Step 4: Simplify right side
    597,330x = 1,599,256,156,689
  5. Step 5: Solve for x
    x = 1,599,256,156,689/597,330
  6. Step 6: Final answer
    x = 2,677,341.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.