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Finding the Third Proportional to 614,034 and 947,301

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Solution

The third proportional to 614,034 and 947,301 is: 1,461,448.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,034 : 947,301 = 947,301 : x
  2. Step 2: Convert to fraction form
    614,034/947,301 = 947,301/x
  3. Step 3: Cross multiply
    614,034x = 947,301 × 947,301
  4. Step 4: Simplify right side
    614,034x = 897,379,184,601
  5. Step 5: Solve for x
    x = 897,379,184,601/614,034
  6. Step 6: Final answer
    x = 1,461,448.69

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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.