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Finding the Third Proportional to 1,406,859 and 2,863,434

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Solution

The third proportional to 1,406,859 and 2,863,434 is: 5,828,056.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406,859 : 2,863,434 = 2,863,434 : x
  2. Step 2: Convert to fraction form
    1,406,859/2,863,434 = 2,863,434/x
  3. Step 3: Cross multiply
    1,406,859x = 2,863,434 × 2,863,434
  4. Step 4: Simplify right side
    1,406,859x = 8,199,254,272,356
  5. Step 5: Solve for x
    x = 8,199,254,272,356/1,406,859
  6. Step 6: Final answer
    x = 5,828,056.88

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.