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Finding the Third Proportional to 543,432 and 1,191,840

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Solution

The third proportional to 543,432 and 1,191,840 is: 2,613,910.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,432 : 1,191,840 = 1,191,840 : x
  2. Step 2: Convert to fraction form
    543,432/1,191,840 = 1,191,840/x
  3. Step 3: Cross multiply
    543,432x = 1,191,840 × 1,191,840
  4. Step 4: Simplify right side
    543,432x = 1,420,482,585,600
  5. Step 5: Solve for x
    x = 1,420,482,585,600/543,432
  6. Step 6: Final answer
    x = 2,613,910.45

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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.