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Finding the Third Proportional to 487,187,883 and 1,000,203,075

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Solution

The third proportional to 487,187,883 and 1,000,203,075 is: 2,053,429,952.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,187,883 : 1,000,203,075 = 1,000,203,075 : x
  2. Step 2: Convert to fraction form
    487,187,883/1,000,203,075 = 1,000,203,075/x
  3. Step 3: Cross multiply
    487,187,883x = 1,000,203,075 × 1,000,203,075
  4. Step 4: Simplify right side
    487,187,883x = 1,000,406,191,239,455,616
  5. Step 5: Solve for x
    x = 1,000,406,191,239,455,616/487,187,883
  6. Step 6: Final answer
    x = 2,053,429,952.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.