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Finding the Third Proportional to 472,893 and 1,037,658

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Solution

The third proportional to 472,893 and 1,037,658 is: 2,276,908.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,893 : 1,037,658 = 1,037,658 : x
  2. Step 2: Convert to fraction form
    472,893/1,037,658 = 1,037,658/x
  3. Step 3: Cross multiply
    472,893x = 1,037,658 × 1,037,658
  4. Step 4: Simplify right side
    472,893x = 1,076,734,124,964
  5. Step 5: Solve for x
    x = 1,076,734,124,964/472,893
  6. Step 6: Final answer
    x = 2,276,908.57

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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.