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Finding the Third Proportional to 585,484 and 1,259,736

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Solution

The third proportional to 585,484 and 1,259,736 is: 2,710,466.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,484 : 1,259,736 = 1,259,736 : x
  2. Step 2: Convert to fraction form
    585,484/1,259,736 = 1,259,736/x
  3. Step 3: Cross multiply
    585,484x = 1,259,736 × 1,259,736
  4. Step 4: Simplify right side
    585,484x = 1,586,934,789,696
  5. Step 5: Solve for x
    x = 1,586,934,789,696/585,484
  6. Step 6: Final answer
    x = 2,710,466.54

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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.