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Finding the Third Proportional to 1,075,638 and 2,292,588

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Solution

The third proportional to 1,075,638 and 2,292,588 is: 4,886,364.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075,638 : 2,292,588 = 2,292,588 : x
  2. Step 2: Convert to fraction form
    1,075,638/2,292,588 = 2,292,588/x
  3. Step 3: Cross multiply
    1,075,638x = 2,292,588 × 2,292,588
  4. Step 4: Simplify right side
    1,075,638x = 5,255,959,737,744
  5. Step 5: Solve for x
    x = 5,255,959,737,744/1,075,638
  6. Step 6: Final answer
    x = 4,886,364.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.