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Finding the Third Proportional to 760,946 and 1,179,891

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Solution

The third proportional to 760,946 and 1,179,891 is: 1,829,489.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,946 : 1,179,891 = 1,179,891 : x
  2. Step 2: Convert to fraction form
    760,946/1,179,891 = 1,179,891/x
  3. Step 3: Cross multiply
    760,946x = 1,179,891 × 1,179,891
  4. Step 4: Simplify right side
    760,946x = 1,392,142,771,881
  5. Step 5: Solve for x
    x = 1,392,142,771,881/760,946
  6. Step 6: Final answer
    x = 1,829,489.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.