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Finding the Third Proportional to 3,590,208 and 7,856,224

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Solution

The third proportional to 3,590,208 and 7,856,224 is: 17,191,275.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590,208 : 7,856,224 = 7,856,224 : x
  2. Step 2: Convert to fraction form
    3,590,208/7,856,224 = 7,856,224/x
  3. Step 3: Cross multiply
    3,590,208x = 7,856,224 × 7,856,224
  4. Step 4: Simplify right side
    3,590,208x = 61,720,255,538,176
  5. Step 5: Solve for x
    x = 61,720,255,538,176/3,590,208
  6. Step 6: Final answer
    x = 17,191,275.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.