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Finding the Third Proportional to 1,828,476 and 2,789,124

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Solution

The third proportional to 1,828,476 and 2,789,124 is: 4,254,478.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828,476 : 2,789,124 = 2,789,124 : x
  2. Step 2: Convert to fraction form
    1,828,476/2,789,124 = 2,789,124/x
  3. Step 3: Cross multiply
    1,828,476x = 2,789,124 × 2,789,124
  4. Step 4: Simplify right side
    1,828,476x = 7,779,212,687,376
  5. Step 5: Solve for x
    x = 7,779,212,687,376/1,828,476
  6. Step 6: Final answer
    x = 4,254,478.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.