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Finding the Third Proportional to 473,257 and 1,026,785

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Solution

The third proportional to 473,257 and 1,026,785 is: 2,227,727.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,257 : 1,026,785 = 1,026,785 : x
  2. Step 2: Convert to fraction form
    473,257/1,026,785 = 1,026,785/x
  3. Step 3: Cross multiply
    473,257x = 1,026,785 × 1,026,785
  4. Step 4: Simplify right side
    473,257x = 1,054,287,436,225
  5. Step 5: Solve for x
    x = 1,054,287,436,225/473,257
  6. Step 6: Final answer
    x = 2,227,727.08

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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.