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Finding the Third Proportional to 473,970 and 1,014,644

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Solution

The third proportional to 473,970 and 1,014,644 is: 2,172,083.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,970 : 1,014,644 = 1,014,644 : x
  2. Step 2: Convert to fraction form
    473,970/1,014,644 = 1,014,644/x
  3. Step 3: Cross multiply
    473,970x = 1,014,644 × 1,014,644
  4. Step 4: Simplify right side
    473,970x = 1,029,502,446,736
  5. Step 5: Solve for x
    x = 1,029,502,446,736/473,970
  6. Step 6: Final answer
    x = 2,172,083.56

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