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Finding the Third Proportional to 1,263,546.84 and 1,806,884.72

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Solution

The third proportional to 1,263,546.84 and 1,806,884.72 is: 2,583,863.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263,546.84 : 1,806,884.72 = 1,806,884.72 : x
  2. Step 2: Convert to fraction form
    1,263,546.84/1,806,884.72 = 1,806,884.72/x
  3. Step 3: Cross multiply
    1,263,546.84x = 1,806,884.72 × 1,806,884.72
  4. Step 4: Simplify right side
    1,263,546.84x = 3,264,832,386,852.27
  5. Step 5: Solve for x
    x = 3,264,832,386,852.27/1,263,546.84
  6. Step 6: Final answer
    x = 2,583,863.35

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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.