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Finding the Third Proportional to 772,784 and 1,182,186

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Solution

The third proportional to 772,784 and 1,182,186 is: 1,808,479.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,784 : 1,182,186 = 1,182,186 : x
  2. Step 2: Convert to fraction form
    772,784/1,182,186 = 1,182,186/x
  3. Step 3: Cross multiply
    772,784x = 1,182,186 × 1,182,186
  4. Step 4: Simplify right side
    772,784x = 1,397,563,738,596
  5. Step 5: Solve for x
    x = 1,397,563,738,596/772,784
  6. Step 6: Final answer
    x = 1,808,479.13

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Why These Related Problems?

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