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Finding the Third Proportional to 1,474,004 and 2,210,574

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Solution

The third proportional to 1,474,004 and 2,210,574 is: 3,315,213.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474,004 : 2,210,574 = 2,210,574 : x
  2. Step 2: Convert to fraction form
    1,474,004/2,210,574 = 2,210,574/x
  3. Step 3: Cross multiply
    1,474,004x = 2,210,574 × 2,210,574
  4. Step 4: Simplify right side
    1,474,004x = 4,886,637,409,476
  5. Step 5: Solve for x
    x = 4,886,637,409,476/1,474,004
  6. Step 6: Final answer
    x = 3,315,213.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.