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Finding the Third Proportional to 853,216 and 1,867,136

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Solution

The third proportional to 853,216 and 1,867,136 is: 4,085,948.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,216 : 1,867,136 = 1,867,136 : x
  2. Step 2: Convert to fraction form
    853,216/1,867,136 = 1,867,136/x
  3. Step 3: Cross multiply
    853,216x = 1,867,136 × 1,867,136
  4. Step 4: Simplify right side
    853,216x = 3,486,196,842,496
  5. Step 5: Solve for x
    x = 3,486,196,842,496/853,216
  6. Step 6: Final answer
    x = 4,085,948.74

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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.