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Finding the Third Proportional to 540,824 and 840,736

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Solution

The third proportional to 540,824 and 840,736 is: 1,306,963.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,824 : 840,736 = 840,736 : x
  2. Step 2: Convert to fraction form
    540,824/840,736 = 840,736/x
  3. Step 3: Cross multiply
    540,824x = 840,736 × 840,736
  4. Step 4: Simplify right side
    540,824x = 706,837,021,696
  5. Step 5: Solve for x
    x = 706,837,021,696/540,824
  6. Step 6: Final answer
    x = 1,306,963.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.