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Finding the Third Proportional to 672,588 and 1,407,492

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Solution

The third proportional to 672,588 and 1,407,492 is: 2,945,389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,588 : 1,407,492 = 1,407,492 : x
  2. Step 2: Convert to fraction form
    672,588/1,407,492 = 1,407,492/x
  3. Step 3: Cross multiply
    672,588x = 1,407,492 × 1,407,492
  4. Step 4: Simplify right side
    672,588x = 1,981,033,730,064
  5. Step 5: Solve for x
    x = 1,981,033,730,064/672,588
  6. Step 6: Final answer
    x = 2,945,389.64

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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.