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Finding the Third Proportional to 290,905,392 and 646,383,984

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Solution

The third proportional to 290,905,392 and 646,383,984 is: 1,436,247,887.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,905,392 : 646,383,984 = 646,383,984 : x
  2. Step 2: Convert to fraction form
    290,905,392/646,383,984 = 646,383,984/x
  3. Step 3: Cross multiply
    290,905,392x = 646,383,984 × 646,383,984
  4. Step 4: Simplify right side
    290,905,392x = 417,812,254,771,712,256
  5. Step 5: Solve for x
    x = 417,812,254,771,712,256/290,905,392
  6. Step 6: Final answer
    x = 1,436,247,887.67

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.