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Finding the Third Proportional to 623,740 and 972,114

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Solution

The third proportional to 623,740 and 972,114 is: 1,515,063.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,740 : 972,114 = 972,114 : x
  2. Step 2: Convert to fraction form
    623,740/972,114 = 972,114/x
  3. Step 3: Cross multiply
    623,740x = 972,114 × 972,114
  4. Step 4: Simplify right side
    623,740x = 945,005,628,996
  5. Step 5: Solve for x
    x = 945,005,628,996/623,740
  6. Step 6: Final answer
    x = 1,515,063.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.