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Finding the Third Proportional to 613,458 and 1,312,208

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Solution

The third proportional to 613,458 and 1,312,208 is: 2,806,858.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,458 : 1,312,208 = 1,312,208 : x
  2. Step 2: Convert to fraction form
    613,458/1,312,208 = 1,312,208/x
  3. Step 3: Cross multiply
    613,458x = 1,312,208 × 1,312,208
  4. Step 4: Simplify right side
    613,458x = 1,721,889,835,264
  5. Step 5: Solve for x
    x = 1,721,889,835,264/613,458
  6. Step 6: Final answer
    x = 2,806,858.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.