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Finding the Third Proportional to 771,312 and 1,186,299

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Solution

The third proportional to 771,312 and 1,186,299 is: 1,824,560.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,312 : 1,186,299 = 1,186,299 : x
  2. Step 2: Convert to fraction form
    771,312/1,186,299 = 1,186,299/x
  3. Step 3: Cross multiply
    771,312x = 1,186,299 × 1,186,299
  4. Step 4: Simplify right side
    771,312x = 1,407,305,317,401
  5. Step 5: Solve for x
    x = 1,407,305,317,401/771,312
  6. Step 6: Final answer
    x = 1,824,560.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.