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Finding the Third Proportional to 1,037,480.91 and 1,570,698.84

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Solution

The third proportional to 1,037,480.91 and 1,570,698.84 is: 2,377,966.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037,480.91 : 1,570,698.84 = 1,570,698.84 : x
  2. Step 2: Convert to fraction form
    1,037,480.91/1,570,698.84 = 1,570,698.84/x
  3. Step 3: Cross multiply
    1,037,480.91x = 1,570,698.84 × 1,570,698.84
  4. Step 4: Simplify right side
    1,037,480.91x = 2,467,094,857,757.59
  5. Step 5: Solve for x
    x = 2,467,094,857,757.59/1,037,480.91
  6. Step 6: Final answer
    x = 2,377,966.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.