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Finding the Third Proportional to 458,010 and 1,009,006

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Solution

The third proportional to 458,010 and 1,009,006 is: 2,222,862.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,010 : 1,009,006 = 1,009,006 : x
  2. Step 2: Convert to fraction form
    458,010/1,009,006 = 1,009,006/x
  3. Step 3: Cross multiply
    458,010x = 1,009,006 × 1,009,006
  4. Step 4: Simplify right side
    458,010x = 1,018,093,108,036
  5. Step 5: Solve for x
    x = 1,018,093,108,036/458,010
  6. Step 6: Final answer
    x = 2,222,862.18

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.