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Finding the Third Proportional to 1,217,638 and 1,939,209

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Solution

The third proportional to 1,217,638 and 1,939,209 is: 3,088,382.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217,638 : 1,939,209 = 1,939,209 : x
  2. Step 2: Convert to fraction form
    1,217,638/1,939,209 = 1,939,209/x
  3. Step 3: Cross multiply
    1,217,638x = 1,939,209 × 1,939,209
  4. Step 4: Simplify right side
    1,217,638x = 3,760,531,545,681
  5. Step 5: Solve for x
    x = 3,760,531,545,681/1,217,638
  6. Step 6: Final answer
    x = 3,088,382.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.