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Finding the Third Proportional to 536,824 and 1,170,102.50

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Solution

The third proportional to 536,824 and 1,170,102.50 is: 2,550,444.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,824 : 1,170,102.50 = 1,170,102.50 : x
  2. Step 2: Convert to fraction form
    536,824/1,170,102.50 = 1,170,102.50/x
  3. Step 3: Cross multiply
    536,824x = 1,170,102.50 × 1,170,102.50
  4. Step 4: Simplify right side
    536,824x = 1,369,139,860,506.25
  5. Step 5: Solve for x
    x = 1,369,139,860,506.25/536,824
  6. Step 6: Final answer
    x = 2,550,444.58

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.