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Finding the Third Proportional to 779,336 and 1,201,834

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Solution

The third proportional to 779,336 and 1,201,834 is: 1,853,378.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,336 : 1,201,834 = 1,201,834 : x
  2. Step 2: Convert to fraction form
    779,336/1,201,834 = 1,201,834/x
  3. Step 3: Cross multiply
    779,336x = 1,201,834 × 1,201,834
  4. Step 4: Simplify right side
    779,336x = 1,444,404,963,556
  5. Step 5: Solve for x
    x = 1,444,404,963,556/779,336
  6. Step 6: Final answer
    x = 1,853,378.98

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