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Finding the Third Proportional to 838,528 and 1,185,378

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Solution

The third proportional to 838,528 and 1,185,378 is: 1,675,699.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,528 : 1,185,378 = 1,185,378 : x
  2. Step 2: Convert to fraction form
    838,528/1,185,378 = 1,185,378/x
  3. Step 3: Cross multiply
    838,528x = 1,185,378 × 1,185,378
  4. Step 4: Simplify right side
    838,528x = 1,405,121,002,884
  5. Step 5: Solve for x
    x = 1,405,121,002,884/838,528
  6. Step 6: Final answer
    x = 1,675,699.56

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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.