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Finding the Third Proportional to 2,685,830 and 4,164,897

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Solution

The third proportional to 2,685,830 and 4,164,897 is: 6,458,475.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685,830 : 4,164,897 = 4,164,897 : x
  2. Step 2: Convert to fraction form
    2,685,830/4,164,897 = 4,164,897/x
  3. Step 3: Cross multiply
    2,685,830x = 4,164,897 × 4,164,897
  4. Step 4: Simplify right side
    2,685,830x = 17,346,367,020,609
  5. Step 5: Solve for x
    x = 17,346,367,020,609/2,685,830
  6. Step 6: Final answer
    x = 6,458,475.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.