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Finding the Third Proportional to 510,570 and 847,992

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Solution

The third proportional to 510,570 and 847,992 is: 1,408,407.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,570 : 847,992 = 847,992 : x
  2. Step 2: Convert to fraction form
    510,570/847,992 = 847,992/x
  3. Step 3: Cross multiply
    510,570x = 847,992 × 847,992
  4. Step 4: Simplify right side
    510,570x = 719,090,432,064
  5. Step 5: Solve for x
    x = 719,090,432,064/510,570
  6. Step 6: Final answer
    x = 1,408,407.14

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.