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Finding the Third Proportional to 857,404 and 1,232,391

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Solution

The third proportional to 857,404 and 1,232,391 is: 1,771,379.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,404 : 1,232,391 = 1,232,391 : x
  2. Step 2: Convert to fraction form
    857,404/1,232,391 = 1,232,391/x
  3. Step 3: Cross multiply
    857,404x = 1,232,391 × 1,232,391
  4. Step 4: Simplify right side
    857,404x = 1,518,787,576,881
  5. Step 5: Solve for x
    x = 1,518,787,576,881/857,404
  6. Step 6: Final answer
    x = 1,771,379.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.