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Finding the Third Proportional to 1,051,862.63 and 2,271,942

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Solution

The third proportional to 1,051,862.63 and 2,271,942 is: 4,907,219.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051,862.63 : 2,271,942 = 2,271,942 : x
  2. Step 2: Convert to fraction form
    1,051,862.63/2,271,942 = 2,271,942/x
  3. Step 3: Cross multiply
    1,051,862.63x = 2,271,942 × 2,271,942
  4. Step 4: Simplify right side
    1,051,862.63x = 5,161,720,451,364
  5. Step 5: Solve for x
    x = 5,161,720,451,364/1,051,862.63
  6. Step 6: Final answer
    x = 4,907,219.18

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Why These Related Problems?

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