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Finding the Third Proportional to 1,075,269,498 and 1,689,574,635

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Solution

The third proportional to 1,075,269,498 and 1,689,574,635 is: 2,654,834,395.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075,269,498 : 1,689,574,635 = 1,689,574,635 : x
  2. Step 2: Convert to fraction form
    1,075,269,498/1,689,574,635 = 1,689,574,635/x
  3. Step 3: Cross multiply
    1,075,269,498x = 1,689,574,635 × 1,689,574,635
  4. Step 4: Simplify right side
    1,075,269,498x = 2,854,662,447,235,383,296
  5. Step 5: Solve for x
    x = 2,854,662,447,235,383,296/1,075,269,498
  6. Step 6: Final answer
    x = 2,654,834,395.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.