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Finding the Third Proportional to 489,629,568 and 1,075,448,460

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Solution

The third proportional to 489,629,568 and 1,075,448,460 is: 2,362,172,274.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,629,568 : 1,075,448,460 = 1,075,448,460 : x
  2. Step 2: Convert to fraction form
    489,629,568/1,075,448,460 = 1,075,448,460/x
  3. Step 3: Cross multiply
    489,629,568x = 1,075,448,460 × 1,075,448,460
  4. Step 4: Simplify right side
    489,629,568x = 1,156,589,390,116,371,712
  5. Step 5: Solve for x
    x = 1,156,589,390,116,371,712/489,629,568
  6. Step 6: Final answer
    x = 2,362,172,274.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.