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Finding the Third Proportional to 876,907 and 1,924,499

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Solution

The third proportional to 876,907 and 1,924,499 is: 4,223,590.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,907 : 1,924,499 = 1,924,499 : x
  2. Step 2: Convert to fraction form
    876,907/1,924,499 = 1,924,499/x
  3. Step 3: Cross multiply
    876,907x = 1,924,499 × 1,924,499
  4. Step 4: Simplify right side
    876,907x = 3,703,696,401,001
  5. Step 5: Solve for x
    x = 3,703,696,401,001/876,907
  6. Step 6: Final answer
    x = 4,223,590.87

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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.