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Finding the Third Proportional to 1,541,029 and 2,045,323

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Solution

The third proportional to 1,541,029 and 2,045,323 is: 2,714,644.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541,029 : 2,045,323 = 2,045,323 : x
  2. Step 2: Convert to fraction form
    1,541,029/2,045,323 = 2,045,323/x
  3. Step 3: Cross multiply
    1,541,029x = 2,045,323 × 2,045,323
  4. Step 4: Simplify right side
    1,541,029x = 4,183,346,174,329
  5. Step 5: Solve for x
    x = 4,183,346,174,329/1,541,029
  6. Step 6: Final answer
    x = 2,714,644.68

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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.