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Finding the Third Proportional to 589,326 and 1,264,674

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Solution

The third proportional to 589,326 and 1,264,674 is: 2,713,948.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,326 : 1,264,674 = 1,264,674 : x
  2. Step 2: Convert to fraction form
    589,326/1,264,674 = 1,264,674/x
  3. Step 3: Cross multiply
    589,326x = 1,264,674 × 1,264,674
  4. Step 4: Simplify right side
    589,326x = 1,599,400,326,276
  5. Step 5: Solve for x
    x = 1,599,400,326,276/589,326
  6. Step 6: Final answer
    x = 2,713,948.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.