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Finding the Third Proportional to 702,498 and 1,003,851

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Solution

The third proportional to 702,498 and 1,003,851 is: 1,434,476.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,498 : 1,003,851 = 1,003,851 : x
  2. Step 2: Convert to fraction form
    702,498/1,003,851 = 1,003,851/x
  3. Step 3: Cross multiply
    702,498x = 1,003,851 × 1,003,851
  4. Step 4: Simplify right side
    702,498x = 1,007,716,830,201
  5. Step 5: Solve for x
    x = 1,007,716,830,201/702,498
  6. Step 6: Final answer
    x = 1,434,476.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.