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Finding the Third Proportional to 631,026 and 953,136

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Solution

The third proportional to 631,026 and 953,136 is: 1,439,668.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,026 : 953,136 = 953,136 : x
  2. Step 2: Convert to fraction form
    631,026/953,136 = 953,136/x
  3. Step 3: Cross multiply
    631,026x = 953,136 × 953,136
  4. Step 4: Simplify right side
    631,026x = 908,468,234,496
  5. Step 5: Solve for x
    x = 908,468,234,496/631,026
  6. Step 6: Final answer
    x = 1,439,668.47

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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.