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Finding the Third Proportional to 2,272,657.50 and 4,860,526.50

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Solution

The third proportional to 2,272,657.50 and 4,860,526.50 is: 10,395,194.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272,657.50 : 4,860,526.50 = 4,860,526.50 : x
  2. Step 2: Convert to fraction form
    2,272,657.50/4,860,526.50 = 4,860,526.50/x
  3. Step 3: Cross multiply
    2,272,657.50x = 4,860,526.50 × 4,860,526.50
  4. Step 4: Simplify right side
    2,272,657.50x = 23,624,717,857,202.25
  5. Step 5: Solve for x
    x = 23,624,717,857,202.25/2,272,657.50
  6. Step 6: Final answer
    x = 10,395,194.99

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Why These Related Problems?

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