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Finding the Third Proportional to 909,457 and 1,980,375

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Solution

The third proportional to 909,457 and 1,980,375 is: 4,312,337.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,457 : 1,980,375 = 1,980,375 : x
  2. Step 2: Convert to fraction form
    909,457/1,980,375 = 1,980,375/x
  3. Step 3: Cross multiply
    909,457x = 1,980,375 × 1,980,375
  4. Step 4: Simplify right side
    909,457x = 3,921,885,140,625
  5. Step 5: Solve for x
    x = 3,921,885,140,625/909,457
  6. Step 6: Final answer
    x = 4,312,337.08

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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.