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Finding the Third Proportional to 746,682,331 and 1,075,548,664

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Solution

The third proportional to 746,682,331 and 1,075,548,664 is: 1,549,259,813.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,682,331 : 1,075,548,664 = 1,075,548,664 : x
  2. Step 2: Convert to fraction form
    746,682,331/1,075,548,664 = 1,075,548,664/x
  3. Step 3: Cross multiply
    746,682,331x = 1,075,548,664 × 1,075,548,664
  4. Step 4: Simplify right side
    746,682,331x = 1,156,804,928,632,184,832
  5. Step 5: Solve for x
    x = 1,156,804,928,632,184,832/746,682,331
  6. Step 6: Final answer
    x = 1,549,259,813.18

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.