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Finding the Third Proportional to 670,075 and 1,036,218

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Solution

The third proportional to 670,075 and 1,036,218 is: 1,602,429.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,075 : 1,036,218 = 1,036,218 : x
  2. Step 2: Convert to fraction form
    670,075/1,036,218 = 1,036,218/x
  3. Step 3: Cross multiply
    670,075x = 1,036,218 × 1,036,218
  4. Step 4: Simplify right side
    670,075x = 1,073,747,743,524
  5. Step 5: Solve for x
    x = 1,073,747,743,524/670,075
  6. Step 6: Final answer
    x = 1,602,429.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.