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Finding the Third Proportional to 924,900 and 2,026,542

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Solution

The third proportional to 924,900 and 2,026,542 is: 4,440,342.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,900 : 2,026,542 = 2,026,542 : x
  2. Step 2: Convert to fraction form
    924,900/2,026,542 = 2,026,542/x
  3. Step 3: Cross multiply
    924,900x = 2,026,542 × 2,026,542
  4. Step 4: Simplify right side
    924,900x = 4,106,872,477,764
  5. Step 5: Solve for x
    x = 4,106,872,477,764/924,900
  6. Step 6: Final answer
    x = 4,440,342.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.