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Finding the Third Proportional to 1,243,412 and 1,857,415

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Solution

The third proportional to 1,243,412 and 1,857,415 is: 2,774,615.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243,412 : 1,857,415 = 1,857,415 : x
  2. Step 2: Convert to fraction form
    1,243,412/1,857,415 = 1,857,415/x
  3. Step 3: Cross multiply
    1,243,412x = 1,857,415 × 1,857,415
  4. Step 4: Simplify right side
    1,243,412x = 3,449,990,482,225
  5. Step 5: Solve for x
    x = 3,449,990,482,225/1,243,412
  6. Step 6: Final answer
    x = 2,774,615.72

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