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Finding the Third Proportional to 760,948 and 1,179,894

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Solution

The third proportional to 760,948 and 1,179,894 is: 1,829,494.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,948 : 1,179,894 = 1,179,894 : x
  2. Step 2: Convert to fraction form
    760,948/1,179,894 = 1,179,894/x
  3. Step 3: Cross multiply
    760,948x = 1,179,894 × 1,179,894
  4. Step 4: Simplify right side
    760,948x = 1,392,149,851,236
  5. Step 5: Solve for x
    x = 1,392,149,851,236/760,948
  6. Step 6: Final answer
    x = 1,829,494.07

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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.