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Finding the Third Proportional to 877,029 and 1,311,965

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Solution

The third proportional to 877,029 and 1,311,965 is: 1,962,594.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,029 : 1,311,965 = 1,311,965 : x
  2. Step 2: Convert to fraction form
    877,029/1,311,965 = 1,311,965/x
  3. Step 3: Cross multiply
    877,029x = 1,311,965 × 1,311,965
  4. Step 4: Simplify right side
    877,029x = 1,721,252,161,225
  5. Step 5: Solve for x
    x = 1,721,252,161,225/877,029
  6. Step 6: Final answer
    x = 1,962,594.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.