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Finding the Third Proportional to 972,614.25 and 1,562,729.63

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Solution

The third proportional to 972,614.25 and 1,562,729.63 is: 2,510,886.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,614.25 : 1,562,729.63 = 1,562,729.63 : x
  2. Step 2: Convert to fraction form
    972,614.25/1,562,729.63 = 1,562,729.63/x
  3. Step 3: Cross multiply
    972,614.25x = 1,562,729.63 × 1,562,729.63
  4. Step 4: Simplify right side
    972,614.25x = 2,442,123,880,852.64
  5. Step 5: Solve for x
    x = 2,442,123,880,852.64/972,614.25
  6. Step 6: Final answer
    x = 2,510,886.39

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.