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Finding the Third Proportional to 1,247,725.50 and 1,782,954

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Solution

The third proportional to 1,247,725.50 and 1,782,954 is: 2,547,775.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247,725.50 : 1,782,954 = 1,782,954 : x
  2. Step 2: Convert to fraction form
    1,247,725.50/1,782,954 = 1,782,954/x
  3. Step 3: Cross multiply
    1,247,725.50x = 1,782,954 × 1,782,954
  4. Step 4: Simplify right side
    1,247,725.50x = 3,178,924,966,116
  5. Step 5: Solve for x
    x = 3,178,924,966,116/1,247,725.50
  6. Step 6: Final answer
    x = 2,547,775.91

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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.