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Finding the Third Proportional to 2,000,291 and 4,320,442

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Solution

The third proportional to 2,000,291 and 4,320,442 is: 9,331,751.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000,291 : 4,320,442 = 4,320,442 : x
  2. Step 2: Convert to fraction form
    2,000,291/4,320,442 = 4,320,442/x
  3. Step 3: Cross multiply
    2,000,291x = 4,320,442 × 4,320,442
  4. Step 4: Simplify right side
    2,000,291x = 18,666,219,075,364
  5. Step 5: Solve for x
    x = 18,666,219,075,364/2,000,291
  6. Step 6: Final answer
    x = 9,331,751.77

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.