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Finding the Third Proportional to 784,093 and 1,700,953

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Solution

The third proportional to 784,093 and 1,700,953 is: 3,689,920.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,093 : 1,700,953 = 1,700,953 : x
  2. Step 2: Convert to fraction form
    784,093/1,700,953 = 1,700,953/x
  3. Step 3: Cross multiply
    784,093x = 1,700,953 × 1,700,953
  4. Step 4: Simplify right side
    784,093x = 2,893,241,108,209
  5. Step 5: Solve for x
    x = 2,893,241,108,209/784,093
  6. Step 6: Final answer
    x = 3,689,920.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.