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Finding the Third Proportional to 838,470 and 1,185,289

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Solution

The third proportional to 838,470 and 1,185,289 is: 1,675,563.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,470 : 1,185,289 = 1,185,289 : x
  2. Step 2: Convert to fraction form
    838,470/1,185,289 = 1,185,289/x
  3. Step 3: Cross multiply
    838,470x = 1,185,289 × 1,185,289
  4. Step 4: Simplify right side
    838,470x = 1,404,910,013,521
  5. Step 5: Solve for x
    x = 1,404,910,013,521/838,470
  6. Step 6: Final answer
    x = 1,675,563.84

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.