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Finding the Third Proportional to 689,368 and 1,458,220

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Solution

The third proportional to 689,368 and 1,458,220 is: 3,084,572.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,368 : 1,458,220 = 1,458,220 : x
  2. Step 2: Convert to fraction form
    689,368/1,458,220 = 1,458,220/x
  3. Step 3: Cross multiply
    689,368x = 1,458,220 × 1,458,220
  4. Step 4: Simplify right side
    689,368x = 2,126,405,568,400
  5. Step 5: Solve for x
    x = 2,126,405,568,400/689,368
  6. Step 6: Final answer
    x = 3,084,572.49

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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.