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Finding the Third Proportional to 545,262 and 1,117,722

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Solution

The third proportional to 545,262 and 1,117,722 is: 2,291,196.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,262 : 1,117,722 = 1,117,722 : x
  2. Step 2: Convert to fraction form
    545,262/1,117,722 = 1,117,722/x
  3. Step 3: Cross multiply
    545,262x = 1,117,722 × 1,117,722
  4. Step 4: Simplify right side
    545,262x = 1,249,302,469,284
  5. Step 5: Solve for x
    x = 1,249,302,469,284/545,262
  6. Step 6: Final answer
    x = 2,291,196.65

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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.