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Finding the Third Proportional to 631,712 and 1,381,522

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Solution

The third proportional to 631,712 and 1,381,522 is: 3,021,318.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,712 : 1,381,522 = 1,381,522 : x
  2. Step 2: Convert to fraction form
    631,712/1,381,522 = 1,381,522/x
  3. Step 3: Cross multiply
    631,712x = 1,381,522 × 1,381,522
  4. Step 4: Simplify right side
    631,712x = 1,908,603,036,484
  5. Step 5: Solve for x
    x = 1,908,603,036,484/631,712
  6. Step 6: Final answer
    x = 3,021,318.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.