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Finding the Third Proportional to 1,263,541.12 and 1,806,878.74

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Solution

The third proportional to 1,263,541.12 and 1,806,878.74 is: 2,583,857.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263,541.12 : 1,806,878.74 = 1,806,878.74 : x
  2. Step 2: Convert to fraction form
    1,263,541.12/1,806,878.74 = 1,806,878.74/x
  3. Step 3: Cross multiply
    1,263,541.12x = 1,806,878.74 × 1,806,878.74
  4. Step 4: Simplify right side
    1,263,541.12x = 3,264,810,769,118.35
  5. Step 5: Solve for x
    x = 3,264,810,769,118.35/1,263,541.12
  6. Step 6: Final answer
    x = 2,583,857.95

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.