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Finding the Third Proportional to 917,770 and 1,968,397

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Solution

The third proportional to 917,770 and 1,968,397 is: 4,221,740.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,770 : 1,968,397 = 1,968,397 : x
  2. Step 2: Convert to fraction form
    917,770/1,968,397 = 1,968,397/x
  3. Step 3: Cross multiply
    917,770x = 1,968,397 × 1,968,397
  4. Step 4: Simplify right side
    917,770x = 3,874,586,749,609
  5. Step 5: Solve for x
    x = 3,874,586,749,609/917,770
  6. Step 6: Final answer
    x = 4,221,740.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.