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Finding the Third Proportional to 539,730 and 1,184,436

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Solution

The third proportional to 539,730 and 1,184,436 is: 2,599,241.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,730 : 1,184,436 = 1,184,436 : x
  2. Step 2: Convert to fraction form
    539,730/1,184,436 = 1,184,436/x
  3. Step 3: Cross multiply
    539,730x = 1,184,436 × 1,184,436
  4. Step 4: Simplify right side
    539,730x = 1,402,888,638,096
  5. Step 5: Solve for x
    x = 1,402,888,638,096/539,730
  6. Step 6: Final answer
    x = 2,599,241.54

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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.