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Finding the Third Proportional to 693,504 and 1,037,448

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Solution

The third proportional to 693,504 and 1,037,448 is: 1,551,971.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,504 : 1,037,448 = 1,037,448 : x
  2. Step 2: Convert to fraction form
    693,504/1,037,448 = 1,037,448/x
  3. Step 3: Cross multiply
    693,504x = 1,037,448 × 1,037,448
  4. Step 4: Simplify right side
    693,504x = 1,076,298,352,704
  5. Step 5: Solve for x
    x = 1,076,298,352,704/693,504
  6. Step 6: Final answer
    x = 1,551,971.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.