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Finding the Third Proportional to 533,982 and 1,166,433

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Solution

The third proportional to 533,982 and 1,166,433 is: 2,547,962.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,982 : 1,166,433 = 1,166,433 : x
  2. Step 2: Convert to fraction form
    533,982/1,166,433 = 1,166,433/x
  3. Step 3: Cross multiply
    533,982x = 1,166,433 × 1,166,433
  4. Step 4: Simplify right side
    533,982x = 1,360,565,943,489
  5. Step 5: Solve for x
    x = 1,360,565,943,489/533,982
  6. Step 6: Final answer
    x = 2,547,962.19

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Why These Related Problems?

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