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Finding the Third Proportional to 767,387 and 1,614,316

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Solution

The third proportional to 767,387 and 1,614,316 is: 3,395,960.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,387 : 1,614,316 = 1,614,316 : x
  2. Step 2: Convert to fraction form
    767,387/1,614,316 = 1,614,316/x
  3. Step 3: Cross multiply
    767,387x = 1,614,316 × 1,614,316
  4. Step 4: Simplify right side
    767,387x = 2,606,016,147,856
  5. Step 5: Solve for x
    x = 2,606,016,147,856/767,387
  6. Step 6: Final answer
    x = 3,395,960.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.