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Finding the Third Proportional to 631,711 and 1,031,418

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Solution

The third proportional to 631,711 and 1,031,418 is: 1,684,034.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,711 : 1,031,418 = 1,031,418 : x
  2. Step 2: Convert to fraction form
    631,711/1,031,418 = 1,031,418/x
  3. Step 3: Cross multiply
    631,711x = 1,031,418 × 1,031,418
  4. Step 4: Simplify right side
    631,711x = 1,063,823,090,724
  5. Step 5: Solve for x
    x = 1,063,823,090,724/631,711
  6. Step 6: Final answer
    x = 1,684,034.46

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.