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Finding the Third Proportional to 675,269 and 1,030,053

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Solution

The third proportional to 675,269 and 1,030,053 is: 1,571,239.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,269 : 1,030,053 = 1,030,053 : x
  2. Step 2: Convert to fraction form
    675,269/1,030,053 = 1,030,053/x
  3. Step 3: Cross multiply
    675,269x = 1,030,053 × 1,030,053
  4. Step 4: Simplify right side
    675,269x = 1,061,009,182,809
  5. Step 5: Solve for x
    x = 1,061,009,182,809/675,269
  6. Step 6: Final answer
    x = 1,571,239.29

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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.