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Finding the Third Proportional to 786,246 and 1,178,136

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Solution

The third proportional to 786,246 and 1,178,136 is: 1,765,356.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,246 : 1,178,136 = 1,178,136 : x
  2. Step 2: Convert to fraction form
    786,246/1,178,136 = 1,178,136/x
  3. Step 3: Cross multiply
    786,246x = 1,178,136 × 1,178,136
  4. Step 4: Simplify right side
    786,246x = 1,388,004,434,496
  5. Step 5: Solve for x
    x = 1,388,004,434,496/786,246
  6. Step 6: Final answer
    x = 1,765,356.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.