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Finding the Third Proportional to 597,810 and 1,293,306

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Solution

The third proportional to 597,810 and 1,293,306 is: 2,797,946.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,810 : 1,293,306 = 1,293,306 : x
  2. Step 2: Convert to fraction form
    597,810/1,293,306 = 1,293,306/x
  3. Step 3: Cross multiply
    597,810x = 1,293,306 × 1,293,306
  4. Step 4: Simplify right side
    597,810x = 1,672,640,409,636
  5. Step 5: Solve for x
    x = 1,672,640,409,636/597,810
  6. Step 6: Final answer
    x = 2,797,946.52

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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.