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Finding the Third Proportional to 1,770,923.63 and 3,754,663.03

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Solution

The third proportional to 1,770,923.63 and 3,754,663.03 is: 7,960,532.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770,923.63 : 3,754,663.03 = 3,754,663.03 : x
  2. Step 2: Convert to fraction form
    1,770,923.63/3,754,663.03 = 3,754,663.03/x
  3. Step 3: Cross multiply
    1,770,923.63x = 3,754,663.03 × 3,754,663.03
  4. Step 4: Simplify right side
    1,770,923.63x = 14,097,494,478,235.44
  5. Step 5: Solve for x
    x = 14,097,494,478,235.44/1,770,923.63
  6. Step 6: Final answer
    x = 7,960,532.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.