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Finding the Third Proportional to 562,308 and 1,213,191

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Solution

The third proportional to 562,308 and 1,213,191 is: 2,617,484.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,308 : 1,213,191 = 1,213,191 : x
  2. Step 2: Convert to fraction form
    562,308/1,213,191 = 1,213,191/x
  3. Step 3: Cross multiply
    562,308x = 1,213,191 × 1,213,191
  4. Step 4: Simplify right side
    562,308x = 1,471,832,402,481
  5. Step 5: Solve for x
    x = 1,471,832,402,481/562,308
  6. Step 6: Final answer
    x = 2,617,484.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.