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Finding the Third Proportional to 753,690.50 and 1,642,894.50

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Solution

The third proportional to 753,690.50 and 1,642,894.50 is: 3,581,181.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,690.50 : 1,642,894.50 = 1,642,894.50 : x
  2. Step 2: Convert to fraction form
    753,690.50/1,642,894.50 = 1,642,894.50/x
  3. Step 3: Cross multiply
    753,690.50x = 1,642,894.50 × 1,642,894.50
  4. Step 4: Simplify right side
    753,690.50x = 2,699,102,338,130.25
  5. Step 5: Solve for x
    x = 2,699,102,338,130.25/753,690.50
  6. Step 6: Final answer
    x = 3,581,181.32

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Why These Related Problems?

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