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Finding the Third Proportional to 462,053 and 1,011,069

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Solution

The third proportional to 462,053 and 1,011,069 is: 2,212,431.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,053 : 1,011,069 = 1,011,069 : x
  2. Step 2: Convert to fraction form
    462,053/1,011,069 = 1,011,069/x
  3. Step 3: Cross multiply
    462,053x = 1,011,069 × 1,011,069
  4. Step 4: Simplify right side
    462,053x = 1,022,260,522,761
  5. Step 5: Solve for x
    x = 1,022,260,522,761/462,053
  6. Step 6: Final answer
    x = 2,212,431.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.