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Finding the Third Proportional to 951,546 and 1,457,459

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Solution

The third proportional to 951,546 and 1,457,459 is: 2,232,353.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    951,546 : 1,457,459 = 1,457,459 : x
  2. Step 2: Convert to fraction form
    951,546/1,457,459 = 1,457,459/x
  3. Step 3: Cross multiply
    951,546x = 1,457,459 × 1,457,459
  4. Step 4: Simplify right side
    951,546x = 2,124,186,736,681
  5. Step 5: Solve for x
    x = 2,124,186,736,681/951,546
  6. Step 6: Final answer
    x = 2,232,353.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.