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Finding the Third Proportional to 1,211,653.69 and 2,623,903.88

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Solution

The third proportional to 1,211,653.69 and 2,623,903.88 is: 5,682,210.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211,653.69 : 2,623,903.88 = 2,623,903.88 : x
  2. Step 2: Convert to fraction form
    1,211,653.69/2,623,903.88 = 2,623,903.88/x
  3. Step 3: Cross multiply
    1,211,653.69x = 2,623,903.88 × 2,623,903.88
  4. Step 4: Simplify right side
    1,211,653.69x = 6,884,871,545,240.02
  5. Step 5: Solve for x
    x = 6,884,871,545,240.02/1,211,653.69
  6. Step 6: Final answer
    x = 5,682,210.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.