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Finding the Third Proportional to 973,900 and 2,124,944

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Solution

The third proportional to 973,900 and 2,124,944 is: 4,636,396.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,900 : 2,124,944 = 2,124,944 : x
  2. Step 2: Convert to fraction form
    973,900/2,124,944 = 2,124,944/x
  3. Step 3: Cross multiply
    973,900x = 2,124,944 × 2,124,944
  4. Step 4: Simplify right side
    973,900x = 4,515,387,003,136
  5. Step 5: Solve for x
    x = 4,515,387,003,136/973,900
  6. Step 6: Final answer
    x = 4,636,396.96

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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.