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Finding the Third Proportional to 458,006 and 1,008,998

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Solution

The third proportional to 458,006 and 1,008,998 is: 2,222,846.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,006 : 1,008,998 = 1,008,998 : x
  2. Step 2: Convert to fraction form
    458,006/1,008,998 = 1,008,998/x
  3. Step 3: Cross multiply
    458,006x = 1,008,998 × 1,008,998
  4. Step 4: Simplify right side
    458,006x = 1,018,076,964,004
  5. Step 5: Solve for x
    x = 1,018,076,964,004/458,006
  6. Step 6: Final answer
    x = 2,222,846.35

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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.