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Finding the Third Proportional to 797,897 and 1,226,370

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Solution

The third proportional to 797,897 and 1,226,370 is: 1,884,934.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,897 : 1,226,370 = 1,226,370 : x
  2. Step 2: Convert to fraction form
    797,897/1,226,370 = 1,226,370/x
  3. Step 3: Cross multiply
    797,897x = 1,226,370 × 1,226,370
  4. Step 4: Simplify right side
    797,897x = 1,503,983,376,900
  5. Step 5: Solve for x
    x = 1,503,983,376,900/797,897
  6. Step 6: Final answer
    x = 1,884,934.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.