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Finding the Third Proportional to 1,057,326 and 1,586,313

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Solution

The third proportional to 1,057,326 and 1,586,313 is: 2,379,955.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057,326 : 1,586,313 = 1,586,313 : x
  2. Step 2: Convert to fraction form
    1,057,326/1,586,313 = 1,586,313/x
  3. Step 3: Cross multiply
    1,057,326x = 1,586,313 × 1,586,313
  4. Step 4: Simplify right side
    1,057,326x = 2,516,388,933,969
  5. Step 5: Solve for x
    x = 2,516,388,933,969/1,057,326
  6. Step 6: Final answer
    x = 2,379,955.60

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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.