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Finding the Third Proportional to 612,136 and 935,740

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Solution

The third proportional to 612,136 and 935,740 is: 1,430,416.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,136 : 935,740 = 935,740 : x
  2. Step 2: Convert to fraction form
    612,136/935,740 = 935,740/x
  3. Step 3: Cross multiply
    612,136x = 935,740 × 935,740
  4. Step 4: Simplify right side
    612,136x = 875,609,347,600
  5. Step 5: Solve for x
    x = 875,609,347,600/612,136
  6. Step 6: Final answer
    x = 1,430,416.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.