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Finding the Third Proportional to 635,913 and 1,363,953

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Solution

The third proportional to 635,913 and 1,363,953 is: 2,925,506.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,913 : 1,363,953 = 1,363,953 : x
  2. Step 2: Convert to fraction form
    635,913/1,363,953 = 1,363,953/x
  3. Step 3: Cross multiply
    635,913x = 1,363,953 × 1,363,953
  4. Step 4: Simplify right side
    635,913x = 1,860,367,786,209
  5. Step 5: Solve for x
    x = 1,860,367,786,209/635,913
  6. Step 6: Final answer
    x = 2,925,506.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.