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Finding the Third Proportional to 774,192 and 1,161,624

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Solution

The third proportional to 774,192 and 1,161,624 is: 1,742,940.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,192 : 1,161,624 = 1,161,624 : x
  2. Step 2: Convert to fraction form
    774,192/1,161,624 = 1,161,624/x
  3. Step 3: Cross multiply
    774,192x = 1,161,624 × 1,161,624
  4. Step 4: Simplify right side
    774,192x = 1,349,370,317,376
  5. Step 5: Solve for x
    x = 1,349,370,317,376/774,192
  6. Step 6: Final answer
    x = 1,742,940.15

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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.