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Finding the Third Proportional to 780,134 and 1,165,053

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Solution

The third proportional to 780,134 and 1,165,053 is: 1,739,891.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,134 : 1,165,053 = 1,165,053 : x
  2. Step 2: Convert to fraction form
    780,134/1,165,053 = 1,165,053/x
  3. Step 3: Cross multiply
    780,134x = 1,165,053 × 1,165,053
  4. Step 4: Simplify right side
    780,134x = 1,357,348,492,809
  5. Step 5: Solve for x
    x = 1,357,348,492,809/780,134
  6. Step 6: Final answer
    x = 1,739,891.47

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Why These Related Problems?

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