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Finding the Third Proportional to 973,674 and 2,118,777

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Solution

The third proportional to 973,674 and 2,118,777 is: 4,610,594.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,674 : 2,118,777 = 2,118,777 : x
  2. Step 2: Convert to fraction form
    973,674/2,118,777 = 2,118,777/x
  3. Step 3: Cross multiply
    973,674x = 2,118,777 × 2,118,777
  4. Step 4: Simplify right side
    973,674x = 4,489,215,975,729
  5. Step 5: Solve for x
    x = 4,489,215,975,729/973,674
  6. Step 6: Final answer
    x = 4,610,594.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.