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Finding the Third Proportional to 809,964 and 1,875,078

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Solution

The third proportional to 809,964 and 1,875,078 is: 4,340,831.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,964 : 1,875,078 = 1,875,078 : x
  2. Step 2: Convert to fraction form
    809,964/1,875,078 = 1,875,078/x
  3. Step 3: Cross multiply
    809,964x = 1,875,078 × 1,875,078
  4. Step 4: Simplify right side
    809,964x = 3,515,917,506,084
  5. Step 5: Solve for x
    x = 3,515,917,506,084/809,964
  6. Step 6: Final answer
    x = 4,340,831.82

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.