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Finding the Third Proportional to 945,828 and 2,075,448

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Solution

The third proportional to 945,828 and 2,075,448 is: 4,554,194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,828 : 2,075,448 = 2,075,448 : x
  2. Step 2: Convert to fraction form
    945,828/2,075,448 = 2,075,448/x
  3. Step 3: Cross multiply
    945,828x = 2,075,448 × 2,075,448
  4. Step 4: Simplify right side
    945,828x = 4,307,484,400,704
  5. Step 5: Solve for x
    x = 4,307,484,400,704/945,828
  6. Step 6: Final answer
    x = 4,554,194.21

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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.