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Finding the Third Proportional to 597,254 and 1,299,470

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Solution

The third proportional to 597,254 and 1,299,470 is: 2,827,310.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,254 : 1,299,470 = 1,299,470 : x
  2. Step 2: Convert to fraction form
    597,254/1,299,470 = 1,299,470/x
  3. Step 3: Cross multiply
    597,254x = 1,299,470 × 1,299,470
  4. Step 4: Simplify right side
    597,254x = 1,688,622,280,900
  5. Step 5: Solve for x
    x = 1,688,622,280,900/597,254
  6. Step 6: Final answer
    x = 2,827,310.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.