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Finding the Third Proportional to 1,541,026 and 2,045,319

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Solution

The third proportional to 1,541,026 and 2,045,319 is: 2,714,639.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541,026 : 2,045,319 = 2,045,319 : x
  2. Step 2: Convert to fraction form
    1,541,026/2,045,319 = 2,045,319/x
  3. Step 3: Cross multiply
    1,541,026x = 2,045,319 × 2,045,319
  4. Step 4: Simplify right side
    1,541,026x = 4,183,329,811,761
  5. Step 5: Solve for x
    x = 4,183,329,811,761/1,541,026
  6. Step 6: Final answer
    x = 2,714,639.35

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Why These Related Problems?

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