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Finding the Third Proportional to 5,905,844 and 8,445,339

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Solution

The third proportional to 5,905,844 and 8,445,339 is: 12,076,809.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905,844 : 8,445,339 = 8,445,339 : x
  2. Step 2: Convert to fraction form
    5,905,844/8,445,339 = 8,445,339/x
  3. Step 3: Cross multiply
    5,905,844x = 8,445,339 × 8,445,339
  4. Step 4: Simplify right side
    5,905,844x = 71,323,750,824,921
  5. Step 5: Solve for x
    x = 71,323,750,824,921/5,905,844
  6. Step 6: Final answer
    x = 12,076,809.14

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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.