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Finding the Third Proportional to 1,661,978.81 and 3,572,237.81

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Solution

The third proportional to 1,661,978.81 and 3,572,237.81 is: 7,678,126.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661,978.81 : 3,572,237.81 = 3,572,237.81 : x
  2. Step 2: Convert to fraction form
    1,661,978.81/3,572,237.81 = 3,572,237.81/x
  3. Step 3: Cross multiply
    1,661,978.81x = 3,572,237.81 × 3,572,237.81
  4. Step 4: Simplify right side
    1,661,978.81x = 12,760,882,989,054.79
  5. Step 5: Solve for x
    x = 12,760,882,989,054.79/1,661,978.81
  6. Step 6: Final answer
    x = 7,678,126.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.