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Finding the Third Proportional to 374,806 and 819,518

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Solution

The third proportional to 374,806 and 819,518 is: 1,791,886.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,806 : 819,518 = 819,518 : x
  2. Step 2: Convert to fraction form
    374,806/819,518 = 819,518/x
  3. Step 3: Cross multiply
    374,806x = 819,518 × 819,518
  4. Step 4: Simplify right side
    374,806x = 671,609,752,324
  5. Step 5: Solve for x
    x = 671,609,752,324/374,806
  6. Step 6: Final answer
    x = 1,791,886.34

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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.