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Finding the Third Proportional to 976,457 and 1,478,456

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Solution

The third proportional to 976,457 and 1,478,456 is: 2,238,533.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,457 : 1,478,456 = 1,478,456 : x
  2. Step 2: Convert to fraction form
    976,457/1,478,456 = 1,478,456/x
  3. Step 3: Cross multiply
    976,457x = 1,478,456 × 1,478,456
  4. Step 4: Simplify right side
    976,457x = 2,185,832,143,936
  5. Step 5: Solve for x
    x = 2,185,832,143,936/976,457
  6. Step 6: Final answer
    x = 2,238,533.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.