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Finding the Third Proportional to 472,768 and 1,037,416

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Solution

The third proportional to 472,768 and 1,037,416 is: 2,276,448.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,768 : 1,037,416 = 1,037,416 : x
  2. Step 2: Convert to fraction form
    472,768/1,037,416 = 1,037,416/x
  3. Step 3: Cross multiply
    472,768x = 1,037,416 × 1,037,416
  4. Step 4: Simplify right side
    472,768x = 1,076,231,957,056
  5. Step 5: Solve for x
    x = 1,076,231,957,056/472,768
  6. Step 6: Final answer
    x = 2,276,448.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.