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Finding the Third Proportional to 613,498 and 947,607

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Solution

The third proportional to 613,498 and 947,607 is: 1,463,670.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,498 : 947,607 = 947,607 : x
  2. Step 2: Convert to fraction form
    613,498/947,607 = 947,607/x
  3. Step 3: Cross multiply
    613,498x = 947,607 × 947,607
  4. Step 4: Simplify right side
    613,498x = 897,959,026,449
  5. Step 5: Solve for x
    x = 897,959,026,449/613,498
  6. Step 6: Final answer
    x = 1,463,670.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.