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Finding the Third Proportional to 473,610 and 1,014,471

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Solution

The third proportional to 473,610 and 1,014,471 is: 2,172,993.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,610 : 1,014,471 = 1,014,471 : x
  2. Step 2: Convert to fraction form
    473,610/1,014,471 = 1,014,471/x
  3. Step 3: Cross multiply
    473,610x = 1,014,471 × 1,014,471
  4. Step 4: Simplify right side
    473,610x = 1,029,151,409,841
  5. Step 5: Solve for x
    x = 1,029,151,409,841/473,610
  6. Step 6: Final answer
    x = 2,172,993.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.