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Finding the Third Proportional to 2,129,112.84 and 4,670,423.93

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Solution

The third proportional to 2,129,112.84 and 4,670,423.93 is: 10,245,046.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,112.84 : 4,670,423.93 = 4,670,423.93 : x
  2. Step 2: Convert to fraction form
    2,129,112.84/4,670,423.93 = 4,670,423.93/x
  3. Step 3: Cross multiply
    2,129,112.84x = 4,670,423.93 × 4,670,423.93
  4. Step 4: Simplify right side
    2,129,112.84x = 21,812,859,682,997.63
  5. Step 5: Solve for x
    x = 21,812,859,682,997.63/2,129,112.84
  6. Step 6: Final answer
    x = 10,245,046.31

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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.