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Finding the Third Proportional to 1,159,929 and 1,774,561.50

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Solution

The third proportional to 1,159,929 and 1,774,561.50 is: 2,714,880.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159,929 : 1,774,561.50 = 1,774,561.50 : x
  2. Step 2: Convert to fraction form
    1,159,929/1,774,561.50 = 1,774,561.50/x
  3. Step 3: Cross multiply
    1,159,929x = 1,774,561.50 × 1,774,561.50
  4. Step 4: Simplify right side
    1,159,929x = 3,149,068,517,282.25
  5. Step 5: Solve for x
    x = 3,149,068,517,282.25/1,159,929
  6. Step 6: Final answer
    x = 2,714,880.41

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.