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Finding the Third Proportional to 465,537 and 999,969

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Solution

The third proportional to 465,537 and 999,969 is: 2,147,923.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,537 : 999,969 = 999,969 : x
  2. Step 2: Convert to fraction form
    465,537/999,969 = 999,969/x
  3. Step 3: Cross multiply
    465,537x = 999,969 × 999,969
  4. Step 4: Simplify right side
    465,537x = 999,938,000,961
  5. Step 5: Solve for x
    x = 999,938,000,961/465,537
  6. Step 6: Final answer
    x = 2,147,923.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.