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Finding the Third Proportional to 533,012.06 and 1,165,671

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Solution

The third proportional to 533,012.06 and 1,165,671 is: 2,549,264.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,012.06 : 1,165,671 = 1,165,671 : x
  2. Step 2: Convert to fraction form
    533,012.06/1,165,671 = 1,165,671/x
  3. Step 3: Cross multiply
    533,012.06x = 1,165,671 × 1,165,671
  4. Step 4: Simplify right side
    533,012.06x = 1,358,788,880,241
  5. Step 5: Solve for x
    x = 1,358,788,880,241/533,012.06
  6. Step 6: Final answer
    x = 2,549,264.78

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Why These Related Problems?

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