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Finding the Third Proportional to 839,066 and 1,258,585

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Solution

The third proportional to 839,066 and 1,258,585 is: 1,887,856.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,066 : 1,258,585 = 1,258,585 : x
  2. Step 2: Convert to fraction form
    839,066/1,258,585 = 1,258,585/x
  3. Step 3: Cross multiply
    839,066x = 1,258,585 × 1,258,585
  4. Step 4: Simplify right side
    839,066x = 1,584,036,202,225
  5. Step 5: Solve for x
    x = 1,584,036,202,225/839,066
  6. Step 6: Final answer
    x = 1,887,856.50

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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.