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Finding the Third Proportional to 533,994 and 1,166,454

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Solution

The third proportional to 533,994 and 1,166,454 is: 2,547,996.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,994 : 1,166,454 = 1,166,454 : x
  2. Step 2: Convert to fraction form
    533,994/1,166,454 = 1,166,454/x
  3. Step 3: Cross multiply
    533,994x = 1,166,454 × 1,166,454
  4. Step 4: Simplify right side
    533,994x = 1,360,614,934,116
  5. Step 5: Solve for x
    x = 1,360,614,934,116/533,994
  6. Step 6: Final answer
    x = 2,547,996.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.