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Finding the Third Proportional to 675,186 and 1,045,128

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Solution

The third proportional to 675,186 and 1,045,128 is: 1,617,765.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,186 : 1,045,128 = 1,045,128 : x
  2. Step 2: Convert to fraction form
    675,186/1,045,128 = 1,045,128/x
  3. Step 3: Cross multiply
    675,186x = 1,045,128 × 1,045,128
  4. Step 4: Simplify right side
    675,186x = 1,092,292,536,384
  5. Step 5: Solve for x
    x = 1,092,292,536,384/675,186
  6. Step 6: Final answer
    x = 1,617,765.38

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.