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Finding the Third Proportional to 613,499 and 947,609

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Solution

The third proportional to 613,499 and 947,609 is: 1,463,674.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,499 : 947,609 = 947,609 : x
  2. Step 2: Convert to fraction form
    613,499/947,609 = 947,609/x
  3. Step 3: Cross multiply
    613,499x = 947,609 × 947,609
  4. Step 4: Simplify right side
    613,499x = 897,962,816,881
  5. Step 5: Solve for x
    x = 897,962,816,881/613,499
  6. Step 6: Final answer
    x = 1,463,674.46

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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.