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Finding the Third Proportional to 780,084 and 1,165,023

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Solution

The third proportional to 780,084 and 1,165,023 is: 1,739,913.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,084 : 1,165,023 = 1,165,023 : x
  2. Step 2: Convert to fraction form
    780,084/1,165,023 = 1,165,023/x
  3. Step 3: Cross multiply
    780,084x = 1,165,023 × 1,165,023
  4. Step 4: Simplify right side
    780,084x = 1,357,278,590,529
  5. Step 5: Solve for x
    x = 1,357,278,590,529/780,084
  6. Step 6: Final answer
    x = 1,739,913.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.