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Finding the Third Proportional to 455,911,797 and 1,075,166,703

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Solution

The third proportional to 455,911,797 and 1,075,166,703 is: 2,535,541,845.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,911,797 : 1,075,166,703 = 1,075,166,703 : x
  2. Step 2: Convert to fraction form
    455,911,797/1,075,166,703 = 1,075,166,703/x
  3. Step 3: Cross multiply
    455,911,797x = 1,075,166,703 × 1,075,166,703
  4. Step 4: Simplify right side
    455,911,797x = 1,155,983,439,239,890,176
  5. Step 5: Solve for x
    x = 1,155,983,439,239,890,176/455,911,797
  6. Step 6: Final answer
    x = 2,535,541,845.70

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.