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Finding the Third Proportional to 945,824 and 2,075,440

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Solution

The third proportional to 945,824 and 2,075,440 is: 4,554,178.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,824 : 2,075,440 = 2,075,440 : x
  2. Step 2: Convert to fraction form
    945,824/2,075,440 = 2,075,440/x
  3. Step 3: Cross multiply
    945,824x = 2,075,440 × 2,075,440
  4. Step 4: Simplify right side
    945,824x = 4,307,451,193,600
  5. Step 5: Solve for x
    x = 4,307,451,193,600/945,824
  6. Step 6: Final answer
    x = 4,554,178.36

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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.