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Finding the Third Proportional to 604,851 and 912,138

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Solution

The third proportional to 604,851 and 912,138 is: 1,375,538.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,851 : 912,138 = 912,138 : x
  2. Step 2: Convert to fraction form
    604,851/912,138 = 912,138/x
  3. Step 3: Cross multiply
    604,851x = 912,138 × 912,138
  4. Step 4: Simplify right side
    604,851x = 831,995,731,044
  5. Step 5: Solve for x
    x = 831,995,731,044/604,851
  6. Step 6: Final answer
    x = 1,375,538.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.