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Finding the Third Proportional to 671,602 and 1,451,459

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Solution

The third proportional to 671,602 and 1,451,459 is: 3,136,877.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,602 : 1,451,459 = 1,451,459 : x
  2. Step 2: Convert to fraction form
    671,602/1,451,459 = 1,451,459/x
  3. Step 3: Cross multiply
    671,602x = 1,451,459 × 1,451,459
  4. Step 4: Simplify right side
    671,602x = 2,106,733,228,681
  5. Step 5: Solve for x
    x = 2,106,733,228,681/671,602
  6. Step 6: Final answer
    x = 3,136,877.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.