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Finding the Third Proportional to 1,207,603.69 and 1,634,228.16

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Solution

The third proportional to 1,207,603.69 and 1,634,228.16 is: 2,211,571.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207,603.69 : 1,634,228.16 = 1,634,228.16 : x
  2. Step 2: Convert to fraction form
    1,207,603.69/1,634,228.16 = 1,634,228.16/x
  3. Step 3: Cross multiply
    1,207,603.69x = 1,634,228.16 × 1,634,228.16
  4. Step 4: Simplify right side
    1,207,603.69x = 2,670,701,666,680.27
  5. Step 5: Solve for x
    x = 2,670,701,666,680.27/1,207,603.69
  6. Step 6: Final answer
    x = 2,211,571.31

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.