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Finding the Third Proportional to 448,893 and 968,998.50

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Solution

The third proportional to 448,893 and 968,998.50 is: 2,091,719.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,893 : 968,998.50 = 968,998.50 : x
  2. Step 2: Convert to fraction form
    448,893/968,998.50 = 968,998.50/x
  3. Step 3: Cross multiply
    448,893x = 968,998.50 × 968,998.50
  4. Step 4: Simplify right side
    448,893x = 938,958,093,002.25
  5. Step 5: Solve for x
    x = 938,958,093,002.25/448,893
  6. Step 6: Final answer
    x = 2,091,719.17

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.