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Finding the Third Proportional to 1,849,533.75 and 2,902,118.63

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Solution

The third proportional to 1,849,533.75 and 2,902,118.63 is: 4,553,738.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849,533.75 : 2,902,118.63 = 2,902,118.63 : x
  2. Step 2: Convert to fraction form
    1,849,533.75/2,902,118.63 = 2,902,118.63/x
  3. Step 3: Cross multiply
    1,849,533.75x = 2,902,118.63 × 2,902,118.63
  4. Step 4: Simplify right side
    1,849,533.75x = 8,422,292,513,571.89
  5. Step 5: Solve for x
    x = 8,422,292,513,571.89/1,849,533.75
  6. Step 6: Final answer
    x = 4,553,738.21

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.