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Finding the Third Proportional to 645,954 and 924,645

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Solution

The third proportional to 645,954 and 924,645 is: 1,323,574.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,954 : 924,645 = 924,645 : x
  2. Step 2: Convert to fraction form
    645,954/924,645 = 924,645/x
  3. Step 3: Cross multiply
    645,954x = 924,645 × 924,645
  4. Step 4: Simplify right side
    645,954x = 854,968,376,025
  5. Step 5: Solve for x
    x = 854,968,376,025/645,954
  6. Step 6: Final answer
    x = 1,323,574.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.