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Finding the Third Proportional to 689,362 and 1,458,210

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Solution

The third proportional to 689,362 and 1,458,210 is: 3,084,557.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,362 : 1,458,210 = 1,458,210 : x
  2. Step 2: Convert to fraction form
    689,362/1,458,210 = 1,458,210/x
  3. Step 3: Cross multiply
    689,362x = 1,458,210 × 1,458,210
  4. Step 4: Simplify right side
    689,362x = 2,126,376,404,100
  5. Step 5: Solve for x
    x = 2,126,376,404,100/689,362
  6. Step 6: Final answer
    x = 3,084,557.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.