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Finding the Third Proportional to 1,243,674 and 1,920,483

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Solution

The third proportional to 1,243,674 and 1,920,483 is: 2,965,612.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243,674 : 1,920,483 = 1,920,483 : x
  2. Step 2: Convert to fraction form
    1,243,674/1,920,483 = 1,920,483/x
  3. Step 3: Cross multiply
    1,243,674x = 1,920,483 × 1,920,483
  4. Step 4: Simplify right side
    1,243,674x = 3,688,254,953,289
  5. Step 5: Solve for x
    x = 3,688,254,953,289/1,243,674
  6. Step 6: Final answer
    x = 2,965,612.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.