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Finding the Third Proportional to 545,522 and 1,166,860

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Solution

The third proportional to 545,522 and 1,166,860 is: 2,495,888.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,522 : 1,166,860 = 1,166,860 : x
  2. Step 2: Convert to fraction form
    545,522/1,166,860 = 1,166,860/x
  3. Step 3: Cross multiply
    545,522x = 1,166,860 × 1,166,860
  4. Step 4: Simplify right side
    545,522x = 1,361,562,259,600
  5. Step 5: Solve for x
    x = 1,361,562,259,600/545,522
  6. Step 6: Final answer
    x = 2,495,888.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.