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Finding the Third Proportional to 671,588 and 1,461,328

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Solution

The third proportional to 671,588 and 1,461,328 is: 3,179,746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,588 : 1,461,328 = 1,461,328 : x
  2. Step 2: Convert to fraction form
    671,588/1,461,328 = 1,461,328/x
  3. Step 3: Cross multiply
    671,588x = 1,461,328 × 1,461,328
  4. Step 4: Simplify right side
    671,588x = 2,135,479,523,584
  5. Step 5: Solve for x
    x = 2,135,479,523,584/671,588
  6. Step 6: Final answer
    x = 3,179,746.40

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Why These Related Problems?

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