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Finding the Third Proportional to 780,132 and 1,165,050

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Solution

The third proportional to 780,132 and 1,165,050 is: 1,739,886.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,132 : 1,165,050 = 1,165,050 : x
  2. Step 2: Convert to fraction form
    780,132/1,165,050 = 1,165,050/x
  3. Step 3: Cross multiply
    780,132x = 1,165,050 × 1,165,050
  4. Step 4: Simplify right side
    780,132x = 1,357,341,502,500
  5. Step 5: Solve for x
    x = 1,357,341,502,500/780,132
  6. Step 6: Final answer
    x = 1,739,886.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.