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Finding the Third Proportional to 461,821.50 and 891,648

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Solution

The third proportional to 461,821.50 and 891,648 is: 1,721,522.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,821.50 : 891,648 = 891,648 : x
  2. Step 2: Convert to fraction form
    461,821.50/891,648 = 891,648/x
  3. Step 3: Cross multiply
    461,821.50x = 891,648 × 891,648
  4. Step 4: Simplify right side
    461,821.50x = 795,036,155,904
  5. Step 5: Solve for x
    x = 795,036,155,904/461,821.50
  6. Step 6: Final answer
    x = 1,721,522.61

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.