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Finding the Third Proportional to 533,088 and 1,154,628

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Solution

The third proportional to 533,088 and 1,154,628 is: 2,500,836.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,088 : 1,154,628 = 1,154,628 : x
  2. Step 2: Convert to fraction form
    533,088/1,154,628 = 1,154,628/x
  3. Step 3: Cross multiply
    533,088x = 1,154,628 × 1,154,628
  4. Step 4: Simplify right side
    533,088x = 1,333,165,818,384
  5. Step 5: Solve for x
    x = 1,333,165,818,384/533,088
  6. Step 6: Final answer
    x = 2,500,836.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.