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Finding the Third Proportional to 689,370 and 1,458,224

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Solution

The third proportional to 689,370 and 1,458,224 is: 3,084,580.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,370 : 1,458,224 = 1,458,224 : x
  2. Step 2: Convert to fraction form
    689,370/1,458,224 = 1,458,224/x
  3. Step 3: Cross multiply
    689,370x = 1,458,224 × 1,458,224
  4. Step 4: Simplify right side
    689,370x = 2,126,417,234,176
  5. Step 5: Solve for x
    x = 2,126,417,234,176/689,370
  6. Step 6: Final answer
    x = 3,084,580.46

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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.