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Finding the Third Proportional to 612,364 and 1,323,306

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Solution

The third proportional to 612,364 and 1,323,306 is: 2,859,637.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,364 : 1,323,306 = 1,323,306 : x
  2. Step 2: Convert to fraction form
    612,364/1,323,306 = 1,323,306/x
  3. Step 3: Cross multiply
    612,364x = 1,323,306 × 1,323,306
  4. Step 4: Simplify right side
    612,364x = 1,751,138,769,636
  5. Step 5: Solve for x
    x = 1,751,138,769,636/612,364
  6. Step 6: Final answer
    x = 2,859,637.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.