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Finding the Third Proportional to 2,506,974 and 3,819,213

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Solution

The third proportional to 2,506,974 and 3,819,213 is: 5,818,324.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506,974 : 3,819,213 = 3,819,213 : x
  2. Step 2: Convert to fraction form
    2,506,974/3,819,213 = 3,819,213/x
  3. Step 3: Cross multiply
    2,506,974x = 3,819,213 × 3,819,213
  4. Step 4: Simplify right side
    2,506,974x = 14,586,387,939,369
  5. Step 5: Solve for x
    x = 14,586,387,939,369/2,506,974
  6. Step 6: Final answer
    x = 5,818,324.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.