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Finding the Third Proportional to 622,537 and 939,520

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Solution

The third proportional to 622,537 and 939,520 is: 1,417,904.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,537 : 939,520 = 939,520 : x
  2. Step 2: Convert to fraction form
    622,537/939,520 = 939,520/x
  3. Step 3: Cross multiply
    622,537x = 939,520 × 939,520
  4. Step 4: Simplify right side
    622,537x = 882,697,830,400
  5. Step 5: Solve for x
    x = 882,697,830,400/622,537
  6. Step 6: Final answer
    x = 1,417,904.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.