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Finding the Third Proportional to 765,182 and 1,675,813

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Solution

The third proportional to 765,182 and 1,675,813 is: 3,670,171.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,182 : 1,675,813 = 1,675,813 : x
  2. Step 2: Convert to fraction form
    765,182/1,675,813 = 1,675,813/x
  3. Step 3: Cross multiply
    765,182x = 1,675,813 × 1,675,813
  4. Step 4: Simplify right side
    765,182x = 2,808,349,210,969
  5. Step 5: Solve for x
    x = 2,808,349,210,969/765,182
  6. Step 6: Final answer
    x = 3,670,171.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.