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Finding the Third Proportional to 1,397,338.50 and 1,977,633

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Solution

The third proportional to 1,397,338.50 and 1,977,633 is: 2,798,915.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397,338.50 : 1,977,633 = 1,977,633 : x
  2. Step 2: Convert to fraction form
    1,397,338.50/1,977,633 = 1,977,633/x
  3. Step 3: Cross multiply
    1,397,338.50x = 1,977,633 × 1,977,633
  4. Step 4: Simplify right side
    1,397,338.50x = 3,911,032,282,689
  5. Step 5: Solve for x
    x = 3,911,032,282,689/1,397,338.50
  6. Step 6: Final answer
    x = 2,798,915.43

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.