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Finding the Third Proportional to 838,528 and 1,810,543

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Solution

The third proportional to 838,528 and 1,810,543 is: 3,909,310.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,528 : 1,810,543 = 1,810,543 : x
  2. Step 2: Convert to fraction form
    838,528/1,810,543 = 1,810,543/x
  3. Step 3: Cross multiply
    838,528x = 1,810,543 × 1,810,543
  4. Step 4: Simplify right side
    838,528x = 3,278,065,954,849
  5. Step 5: Solve for x
    x = 3,278,065,954,849/838,528
  6. Step 6: Final answer
    x = 3,909,310.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.