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Finding the Third Proportional to 426,897 and 893,025

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Solution

The third proportional to 426,897 and 893,025 is: 1,868,117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,897 : 893,025 = 893,025 : x
  2. Step 2: Convert to fraction form
    426,897/893,025 = 893,025/x
  3. Step 3: Cross multiply
    426,897x = 893,025 × 893,025
  4. Step 4: Simplify right side
    426,897x = 797,493,650,625
  5. Step 5: Solve for x
    x = 797,493,650,625/426,897
  6. Step 6: Final answer
    x = 1,868,117.25

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.