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Finding the Third Proportional to 1,312,600 and 2,024,904

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Solution

The third proportional to 1,312,600 and 2,024,904 is: 3,123,751.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312,600 : 2,024,904 = 2,024,904 : x
  2. Step 2: Convert to fraction form
    1,312,600/2,024,904 = 2,024,904/x
  3. Step 3: Cross multiply
    1,312,600x = 2,024,904 × 2,024,904
  4. Step 4: Simplify right side
    1,312,600x = 4,100,236,209,216
  5. Step 5: Solve for x
    x = 4,100,236,209,216/1,312,600
  6. Step 6: Final answer
    x = 3,123,751.49

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.