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Finding the Third Proportional to 1,834,102 and 4,315,562

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Solution

The third proportional to 1,834,102 and 4,315,562 is: 10,154,329.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834,102 : 4,315,562 = 4,315,562 : x
  2. Step 2: Convert to fraction form
    1,834,102/4,315,562 = 4,315,562/x
  3. Step 3: Cross multiply
    1,834,102x = 4,315,562 × 4,315,562
  4. Step 4: Simplify right side
    1,834,102x = 18,624,075,375,844
  5. Step 5: Solve for x
    x = 18,624,075,375,844/1,834,102
  6. Step 6: Final answer
    x = 10,154,329.14

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.