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Finding the Third Proportional to 1,345,916.25 and 2,068,760.25

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Solution

The third proportional to 1,345,916.25 and 2,068,760.25 is: 3,179,818.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345,916.25 : 2,068,760.25 = 2,068,760.25 : x
  2. Step 2: Convert to fraction form
    1,345,916.25/2,068,760.25 = 2,068,760.25/x
  3. Step 3: Cross multiply
    1,345,916.25x = 2,068,760.25 × 2,068,760.25
  4. Step 4: Simplify right side
    1,345,916.25x = 4,279,768,971,980.06
  5. Step 5: Solve for x
    x = 4,279,768,971,980.06/1,345,916.25
  6. Step 6: Final answer
    x = 3,179,818.19

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Why These Related Problems?

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