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Finding the Third Proportional to 1,106,763 and 1,692,261

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Solution

The third proportional to 1,106,763 and 1,692,261 is: 2,587,498.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106,763 : 1,692,261 = 1,692,261 : x
  2. Step 2: Convert to fraction form
    1,106,763/1,692,261 = 1,692,261/x
  3. Step 3: Cross multiply
    1,106,763x = 1,692,261 × 1,692,261
  4. Step 4: Simplify right side
    1,106,763x = 2,863,747,292,121
  5. Step 5: Solve for x
    x = 2,863,747,292,121/1,106,763
  6. Step 6: Final answer
    x = 2,587,498.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.