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Finding the Third Proportional to 922,762.13 and 1,384,121.25

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Solution

The third proportional to 922,762.13 and 1,384,121.25 is: 2,076,148.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,762.13 : 1,384,121.25 = 1,384,121.25 : x
  2. Step 2: Convert to fraction form
    922,762.13/1,384,121.25 = 1,384,121.25/x
  3. Step 3: Cross multiply
    922,762.13x = 1,384,121.25 × 1,384,121.25
  4. Step 4: Simplify right side
    922,762.13x = 1,915,791,634,701.56
  5. Step 5: Solve for x
    x = 1,915,791,634,701.56/922,762.13
  6. Step 6: Final answer
    x = 2,076,148.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.