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Finding the Third Proportional to 473,249 and 1,026,769

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Solution

The third proportional to 473,249 and 1,026,769 is: 2,227,695.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,249 : 1,026,769 = 1,026,769 : x
  2. Step 2: Convert to fraction form
    473,249/1,026,769 = 1,026,769/x
  3. Step 3: Cross multiply
    473,249x = 1,026,769 × 1,026,769
  4. Step 4: Simplify right side
    473,249x = 1,054,254,579,361
  5. Step 5: Solve for x
    x = 1,054,254,579,361/473,249
  6. Step 6: Final answer
    x = 2,227,695.31

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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.