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Finding the Third Proportional to 748,278 and 1,636,308

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Solution

The third proportional to 748,278 and 1,636,308 is: 3,578,220.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,278 : 1,636,308 = 1,636,308 : x
  2. Step 2: Convert to fraction form
    748,278/1,636,308 = 1,636,308/x
  3. Step 3: Cross multiply
    748,278x = 1,636,308 × 1,636,308
  4. Step 4: Simplify right side
    748,278x = 2,677,503,870,864
  5. Step 5: Solve for x
    x = 2,677,503,870,864/748,278
  6. Step 6: Final answer
    x = 3,578,220.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.