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Finding the Third Proportional to 651,999 and 997,371

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Solution

The third proportional to 651,999 and 997,371 is: 1,525,690.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,999 : 997,371 = 997,371 : x
  2. Step 2: Convert to fraction form
    651,999/997,371 = 997,371/x
  3. Step 3: Cross multiply
    651,999x = 997,371 × 997,371
  4. Step 4: Simplify right side
    651,999x = 994,748,911,641
  5. Step 5: Solve for x
    x = 994,748,911,641/651,999
  6. Step 6: Final answer
    x = 1,525,690.85

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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.