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Finding the Third Proportional to 1,762,672 and 3,678,596

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Solution

The third proportional to 1,762,672 and 3,678,596 is: 7,677,020.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762,672 : 3,678,596 = 3,678,596 : x
  2. Step 2: Convert to fraction form
    1,762,672/3,678,596 = 3,678,596/x
  3. Step 3: Cross multiply
    1,762,672x = 3,678,596 × 3,678,596
  4. Step 4: Simplify right side
    1,762,672x = 13,532,068,531,216
  5. Step 5: Solve for x
    x = 13,532,068,531,216/1,762,672
  6. Step 6: Final answer
    x = 7,677,020.19

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.