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Finding the Third Proportional to 1,609,020 and 2,385,696

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Solution

The third proportional to 1,609,020 and 2,385,696 is: 3,537,274.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609,020 : 2,385,696 = 2,385,696 : x
  2. Step 2: Convert to fraction form
    1,609,020/2,385,696 = 2,385,696/x
  3. Step 3: Cross multiply
    1,609,020x = 2,385,696 × 2,385,696
  4. Step 4: Simplify right side
    1,609,020x = 5,691,545,404,416
  5. Step 5: Solve for x
    x = 5,691,545,404,416/1,609,020
  6. Step 6: Final answer
    x = 3,537,274.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.