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Finding the Third Proportional to 2,731,119 and 5,984,688

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Solution

The third proportional to 2,731,119 and 5,984,688 is: 13,114,218.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731,119 : 5,984,688 = 5,984,688 : x
  2. Step 2: Convert to fraction form
    2,731,119/5,984,688 = 5,984,688/x
  3. Step 3: Cross multiply
    2,731,119x = 5,984,688 × 5,984,688
  4. Step 4: Simplify right side
    2,731,119x = 35,816,490,457,344
  5. Step 5: Solve for x
    x = 35,816,490,457,344/2,731,119
  6. Step 6: Final answer
    x = 13,114,218.19

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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.