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Finding the Third Proportional to 468,262 and 1,011,404

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Solution

The third proportional to 468,262 and 1,011,404 is: 2,184,542.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,262 : 1,011,404 = 1,011,404 : x
  2. Step 2: Convert to fraction form
    468,262/1,011,404 = 1,011,404/x
  3. Step 3: Cross multiply
    468,262x = 1,011,404 × 1,011,404
  4. Step 4: Simplify right side
    468,262x = 1,022,938,051,216
  5. Step 5: Solve for x
    x = 1,022,938,051,216/468,262
  6. Step 6: Final answer
    x = 2,184,542.10

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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.