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Finding the Third Proportional to 873,022.50 and 1,346,915.25

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Solution

The third proportional to 873,022.50 and 1,346,915.25 is: 2,078,045.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,022.50 : 1,346,915.25 = 1,346,915.25 : x
  2. Step 2: Convert to fraction form
    873,022.50/1,346,915.25 = 1,346,915.25/x
  3. Step 3: Cross multiply
    873,022.50x = 1,346,915.25 × 1,346,915.25
  4. Step 4: Simplify right side
    873,022.50x = 1,814,180,690,682.56
  5. Step 5: Solve for x
    x = 1,814,180,690,682.56/873,022.50
  6. Step 6: Final answer
    x = 2,078,045.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.