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Finding the Third Proportional to 456,377 and 941,842

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Solution

The third proportional to 456,377 and 941,842 is: 1,943,713.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,377 : 941,842 = 941,842 : x
  2. Step 2: Convert to fraction form
    456,377/941,842 = 941,842/x
  3. Step 3: Cross multiply
    456,377x = 941,842 × 941,842
  4. Step 4: Simplify right side
    456,377x = 887,066,352,964
  5. Step 5: Solve for x
    x = 887,066,352,964/456,377
  6. Step 6: Final answer
    x = 1,943,713.98

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.