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Finding the Third Proportional to 761,766.19 and 1,114,608.09

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Solution

The third proportional to 761,766.19 and 1,114,608.09 is: 1,630,882.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,766.19 : 1,114,608.09 = 1,114,608.09 : x
  2. Step 2: Convert to fraction form
    761,766.19/1,114,608.09 = 1,114,608.09/x
  3. Step 3: Cross multiply
    761,766.19x = 1,114,608.09 × 1,114,608.09
  4. Step 4: Simplify right side
    761,766.19x = 1,242,351,202,653.01
  5. Step 5: Solve for x
    x = 1,242,351,202,653.01/761,766.19
  6. Step 6: Final answer
    x = 1,630,882.58

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.