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Finding the Third Proportional to 1,541,024 and 2,045,316

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Solution

The third proportional to 1,541,024 and 2,045,316 is: 2,714,634.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541,024 : 2,045,316 = 2,045,316 : x
  2. Step 2: Convert to fraction form
    1,541,024/2,045,316 = 2,045,316/x
  3. Step 3: Cross multiply
    1,541,024x = 2,045,316 × 2,045,316
  4. Step 4: Simplify right side
    1,541,024x = 4,183,317,539,856
  5. Step 5: Solve for x
    x = 4,183,317,539,856/1,541,024
  6. Step 6: Final answer
    x = 2,714,634.91

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.