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Finding the Third Proportional to 1,134,490 and 2,419,154

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Solution

The third proportional to 1,134,490 and 2,419,154 is: 5,158,534.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134,490 : 2,419,154 = 2,419,154 : x
  2. Step 2: Convert to fraction form
    1,134,490/2,419,154 = 2,419,154/x
  3. Step 3: Cross multiply
    1,134,490x = 2,419,154 × 2,419,154
  4. Step 4: Simplify right side
    1,134,490x = 5,852,306,075,716
  5. Step 5: Solve for x
    x = 5,852,306,075,716/1,134,490
  6. Step 6: Final answer
    x = 5,158,534.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.