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Finding the Third Proportional to 456,009 and 989,899.50

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Solution

The third proportional to 456,009 and 989,899.50 is: 2,148,863.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,009 : 989,899.50 = 989,899.50 : x
  2. Step 2: Convert to fraction form
    456,009/989,899.50 = 989,899.50/x
  3. Step 3: Cross multiply
    456,009x = 989,899.50 × 989,899.50
  4. Step 4: Simplify right side
    456,009x = 979,901,020,100.25
  5. Step 5: Solve for x
    x = 979,901,020,100.25/456,009
  6. Step 6: Final answer
    x = 2,148,863.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.