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Finding the Third Proportional to 671,594 and 1,461,340

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Solution

The third proportional to 671,594 and 1,461,340 is: 3,179,770.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,594 : 1,461,340 = 1,461,340 : x
  2. Step 2: Convert to fraction form
    671,594/1,461,340 = 1,461,340/x
  3. Step 3: Cross multiply
    671,594x = 1,461,340 × 1,461,340
  4. Step 4: Simplify right side
    671,594x = 2,135,514,595,600
  5. Step 5: Solve for x
    x = 2,135,514,595,600/671,594
  6. Step 6: Final answer
    x = 3,179,770.21

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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.