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Finding the Third Proportional to 597,664 and 1,294,880

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Solution

The third proportional to 597,664 and 1,294,880 is: 2,805,446.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,664 : 1,294,880 = 1,294,880 : x
  2. Step 2: Convert to fraction form
    597,664/1,294,880 = 1,294,880/x
  3. Step 3: Cross multiply
    597,664x = 1,294,880 × 1,294,880
  4. Step 4: Simplify right side
    597,664x = 1,676,714,214,400
  5. Step 5: Solve for x
    x = 1,676,714,214,400/597,664
  6. Step 6: Final answer
    x = 2,805,446.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.