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Finding the Third Proportional to 874,704 and 1,428,312

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Solution

The third proportional to 874,704 and 1,428,312 is: 2,332,303.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,704 : 1,428,312 = 1,428,312 : x
  2. Step 2: Convert to fraction form
    874,704/1,428,312 = 1,428,312/x
  3. Step 3: Cross multiply
    874,704x = 1,428,312 × 1,428,312
  4. Step 4: Simplify right side
    874,704x = 2,040,075,169,344
  5. Step 5: Solve for x
    x = 2,040,075,169,344/874,704
  6. Step 6: Final answer
    x = 2,332,303.46

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.