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Finding the Third Proportional to 917,788 and 1,968,431

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Solution

The third proportional to 917,788 and 1,968,431 is: 4,221,803.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,788 : 1,968,431 = 1,968,431 : x
  2. Step 2: Convert to fraction form
    917,788/1,968,431 = 1,968,431/x
  3. Step 3: Cross multiply
    917,788x = 1,968,431 × 1,968,431
  4. Step 4: Simplify right side
    917,788x = 3,874,720,601,761
  5. Step 5: Solve for x
    x = 3,874,720,601,761/917,788
  6. Step 6: Final answer
    x = 4,221,803.51

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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.