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Finding the Third Proportional to 448,819 and 968,971

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Solution

The third proportional to 448,819 and 968,971 is: 2,091,945.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,819 : 968,971 = 968,971 : x
  2. Step 2: Convert to fraction form
    448,819/968,971 = 968,971/x
  3. Step 3: Cross multiply
    448,819x = 968,971 × 968,971
  4. Step 4: Simplify right side
    448,819x = 938,904,798,841
  5. Step 5: Solve for x
    x = 938,904,798,841/448,819
  6. Step 6: Final answer
    x = 2,091,945.30

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Why These Related Problems?

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