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Finding the Third Proportional to 631,017 and 1,368,507

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Solution

The third proportional to 631,017 and 1,368,507 is: 2,967,925.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,017 : 1,368,507 = 1,368,507 : x
  2. Step 2: Convert to fraction form
    631,017/1,368,507 = 1,368,507/x
  3. Step 3: Cross multiply
    631,017x = 1,368,507 × 1,368,507
  4. Step 4: Simplify right side
    631,017x = 1,872,811,409,049
  5. Step 5: Solve for x
    x = 1,872,811,409,049/631,017
  6. Step 6: Final answer
    x = 2,967,925.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.