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Finding the Third Proportional to 774,364 and 1,161,546

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Solution

The third proportional to 774,364 and 1,161,546 is: 1,742,319

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,364 : 1,161,546 = 1,161,546 : x
  2. Step 2: Convert to fraction form
    774,364/1,161,546 = 1,161,546/x
  3. Step 3: Cross multiply
    774,364x = 1,161,546 × 1,161,546
  4. Step 4: Simplify right side
    774,364x = 1,349,189,110,116
  5. Step 5: Solve for x
    x = 1,349,189,110,116/774,364
  6. Step 6: Final answer
    x = 1,742,319

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.