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Finding the Third Proportional to 773,943 and 1,114,771.50

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Solution

The third proportional to 773,943 and 1,114,771.50 is: 1,605,693.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,943 : 1,114,771.50 = 1,114,771.50 : x
  2. Step 2: Convert to fraction form
    773,943/1,114,771.50 = 1,114,771.50/x
  3. Step 3: Cross multiply
    773,943x = 1,114,771.50 × 1,114,771.50
  4. Step 4: Simplify right side
    773,943x = 1,242,715,497,212.25
  5. Step 5: Solve for x
    x = 1,242,715,497,212.25/773,943
  6. Step 6: Final answer
    x = 1,605,693.83

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.