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Finding the Third Proportional to 812,468 and 1,187,310

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Solution

The third proportional to 812,468 and 1,187,310 is: 1,735,089.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,468 : 1,187,310 = 1,187,310 : x
  2. Step 2: Convert to fraction form
    812,468/1,187,310 = 1,187,310/x
  3. Step 3: Cross multiply
    812,468x = 1,187,310 × 1,187,310
  4. Step 4: Simplify right side
    812,468x = 1,409,705,036,100
  5. Step 5: Solve for x
    x = 1,409,705,036,100/812,468
  6. Step 6: Final answer
    x = 1,735,089.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.