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Finding the Third Proportional to 811,012 and 1,185,702

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Solution

The third proportional to 811,012 and 1,185,702 is: 1,733,499.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,012 : 1,185,702 = 1,185,702 : x
  2. Step 2: Convert to fraction form
    811,012/1,185,702 = 1,185,702/x
  3. Step 3: Cross multiply
    811,012x = 1,185,702 × 1,185,702
  4. Step 4: Simplify right side
    811,012x = 1,405,889,232,804
  5. Step 5: Solve for x
    x = 1,405,889,232,804/811,012
  6. Step 6: Final answer
    x = 1,733,499.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.