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Finding the Third Proportional to 622,579 and 961,510

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Solution

The third proportional to 622,579 and 961,510 is: 1,484,954.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,579 : 961,510 = 961,510 : x
  2. Step 2: Convert to fraction form
    622,579/961,510 = 961,510/x
  3. Step 3: Cross multiply
    622,579x = 961,510 × 961,510
  4. Step 4: Simplify right side
    622,579x = 924,501,480,100
  5. Step 5: Solve for x
    x = 924,501,480,100/622,579
  6. Step 6: Final answer
    x = 1,484,954.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.