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Finding the Third Proportional to 545,464 and 1,166,736

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Solution

The third proportional to 545,464 and 1,166,736 is: 2,495,623.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,464 : 1,166,736 = 1,166,736 : x
  2. Step 2: Convert to fraction form
    545,464/1,166,736 = 1,166,736/x
  3. Step 3: Cross multiply
    545,464x = 1,166,736 × 1,166,736
  4. Step 4: Simplify right side
    545,464x = 1,361,272,893,696
  5. Step 5: Solve for x
    x = 1,361,272,893,696/545,464
  6. Step 6: Final answer
    x = 2,495,623.71

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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.