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Finding the Third Proportional to 537,435 and 1,158,786

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Solution

The third proportional to 537,435 and 1,158,786 is: 2,498,506.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,435 : 1,158,786 = 1,158,786 : x
  2. Step 2: Convert to fraction form
    537,435/1,158,786 = 1,158,786/x
  3. Step 3: Cross multiply
    537,435x = 1,158,786 × 1,158,786
  4. Step 4: Simplify right side
    537,435x = 1,342,784,993,796
  5. Step 5: Solve for x
    x = 1,342,784,993,796/537,435
  6. Step 6: Final answer
    x = 2,498,506.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.