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Finding the Third Proportional to 672,480 and 1,407,276

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Solution

The third proportional to 672,480 and 1,407,276 is: 2,944,958.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,480 : 1,407,276 = 1,407,276 : x
  2. Step 2: Convert to fraction form
    672,480/1,407,276 = 1,407,276/x
  3. Step 3: Cross multiply
    672,480x = 1,407,276 × 1,407,276
  4. Step 4: Simplify right side
    672,480x = 1,980,425,740,176
  5. Step 5: Solve for x
    x = 1,980,425,740,176/672,480
  6. Step 6: Final answer
    x = 2,944,958.57

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.