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Finding the Third Proportional to 1,243,409 and 1,857,410

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Solution

The third proportional to 1,243,409 and 1,857,410 is: 2,774,607.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243,409 : 1,857,410 = 1,857,410 : x
  2. Step 2: Convert to fraction form
    1,243,409/1,857,410 = 1,857,410/x
  3. Step 3: Cross multiply
    1,243,409x = 1,857,410 × 1,857,410
  4. Step 4: Simplify right side
    1,243,409x = 3,449,971,908,100
  5. Step 5: Solve for x
    x = 3,449,971,908,100/1,243,409
  6. Step 6: Final answer
    x = 2,774,607.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.