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Finding the Third Proportional to 1,825,063.31 and 4,224,903.47

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Solution

The third proportional to 1,825,063.31 and 4,224,903.47 is: 9,780,378.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825,063.31 : 4,224,903.47 = 4,224,903.47 : x
  2. Step 2: Convert to fraction form
    1,825,063.31/4,224,903.47 = 4,224,903.47/x
  3. Step 3: Cross multiply
    1,825,063.31x = 4,224,903.47 × 4,224,903.47
  4. Step 4: Simplify right side
    1,825,063.31x = 17,849,809,320,255.78
  5. Step 5: Solve for x
    x = 17,849,809,320,255.78/1,825,063.31
  6. Step 6: Final answer
    x = 9,780,378.14

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.