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Finding the Third Proportional to 840,116 and 1,843,528

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Solution

The third proportional to 840,116 and 1,843,528 is: 4,045,388.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,116 : 1,843,528 = 1,843,528 : x
  2. Step 2: Convert to fraction form
    840,116/1,843,528 = 1,843,528/x
  3. Step 3: Cross multiply
    840,116x = 1,843,528 × 1,843,528
  4. Step 4: Simplify right side
    840,116x = 3,398,595,486,784
  5. Step 5: Solve for x
    x = 3,398,595,486,784/840,116
  6. Step 6: Final answer
    x = 4,045,388.36

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.