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Finding the Third Proportional to 546,201 and 1,118,640

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Solution

The third proportional to 546,201 and 1,118,640 is: 2,291,016.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,201 : 1,118,640 = 1,118,640 : x
  2. Step 2: Convert to fraction form
    546,201/1,118,640 = 1,118,640/x
  3. Step 3: Cross multiply
    546,201x = 1,118,640 × 1,118,640
  4. Step 4: Simplify right side
    546,201x = 1,251,355,449,600
  5. Step 5: Solve for x
    x = 1,251,355,449,600/546,201
  6. Step 6: Final answer
    x = 2,291,016.40

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.