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Finding the Third Proportional to 849,926 and 1,854,400

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Solution

The third proportional to 849,926 and 1,854,400 is: 4,045,998.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,926 : 1,854,400 = 1,854,400 : x
  2. Step 2: Convert to fraction form
    849,926/1,854,400 = 1,854,400/x
  3. Step 3: Cross multiply
    849,926x = 1,854,400 × 1,854,400
  4. Step 4: Simplify right side
    849,926x = 3,438,799,360,000
  5. Step 5: Solve for x
    x = 3,438,799,360,000/849,926
  6. Step 6: Final answer
    x = 4,045,998.55

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.