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Finding the Third Proportional to 469,044 and 1,011,069

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Solution

The third proportional to 469,044 and 1,011,069 is: 2,179,455.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,044 : 1,011,069 = 1,011,069 : x
  2. Step 2: Convert to fraction form
    469,044/1,011,069 = 1,011,069/x
  3. Step 3: Cross multiply
    469,044x = 1,011,069 × 1,011,069
  4. Step 4: Simplify right side
    469,044x = 1,022,260,522,761
  5. Step 5: Solve for x
    x = 1,022,260,522,761/469,044
  6. Step 6: Final answer
    x = 2,179,455.49

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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.