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Finding the Third Proportional to 469,252 and 1,024,553

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Solution

The third proportional to 469,252 and 1,024,553 is: 2,236,983.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,252 : 1,024,553 = 1,024,553 : x
  2. Step 2: Convert to fraction form
    469,252/1,024,553 = 1,024,553/x
  3. Step 3: Cross multiply
    469,252x = 1,024,553 × 1,024,553
  4. Step 4: Simplify right side
    469,252x = 1,049,708,849,809
  5. Step 5: Solve for x
    x = 1,049,708,849,809/469,252
  6. Step 6: Final answer
    x = 2,236,983.22

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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.