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Finding the Third Proportional to 584,554.22 and 1,365,782.77

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Solution

The third proportional to 584,554.22 and 1,365,782.77 is: 3,191,085.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,554.22 : 1,365,782.77 = 1,365,782.77 : x
  2. Step 2: Convert to fraction form
    584,554.22/1,365,782.77 = 1,365,782.77/x
  3. Step 3: Cross multiply
    584,554.22x = 1,365,782.77 × 1,365,782.77
  4. Step 4: Simplify right side
    584,554.22x = 1,865,362,562,878.27
  5. Step 5: Solve for x
    x = 1,865,362,562,878.27/584,554.22
  6. Step 6: Final answer
    x = 3,191,085.62

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.