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Finding the Third Proportional to 631,030 and 953,142

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Solution

The third proportional to 631,030 and 953,142 is: 1,439,677.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,030 : 953,142 = 953,142 : x
  2. Step 2: Convert to fraction form
    631,030/953,142 = 953,142/x
  3. Step 3: Cross multiply
    631,030x = 953,142 × 953,142
  4. Step 4: Simplify right side
    631,030x = 908,479,672,164
  5. Step 5: Solve for x
    x = 908,479,672,164/631,030
  6. Step 6: Final answer
    x = 1,439,677.47

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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.