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Finding the Third Proportional to 945,840 and 2,075,400

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Solution

The third proportional to 945,840 and 2,075,400 is: 4,553,925.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,840 : 2,075,400 = 2,075,400 : x
  2. Step 2: Convert to fraction form
    945,840/2,075,400 = 2,075,400/x
  3. Step 3: Cross multiply
    945,840x = 2,075,400 × 2,075,400
  4. Step 4: Simplify right side
    945,840x = 4,307,285,160,000
  5. Step 5: Solve for x
    x = 4,307,285,160,000/945,840
  6. Step 6: Final answer
    x = 4,553,925.78

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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.