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Finding the Third Proportional to 436,038 and 924,924

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Solution

The third proportional to 436,038 and 924,924 is: 1,961,949.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,038 : 924,924 = 924,924 : x
  2. Step 2: Convert to fraction form
    436,038/924,924 = 924,924/x
  3. Step 3: Cross multiply
    436,038x = 924,924 × 924,924
  4. Step 4: Simplify right side
    436,038x = 855,484,405,776
  5. Step 5: Solve for x
    x = 855,484,405,776/436,038
  6. Step 6: Final answer
    x = 1,961,949.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.