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Finding the Third Proportional to 894,765 and 1,355,178

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Solution

The third proportional to 894,765 and 1,355,178 is: 2,052,502.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,765 : 1,355,178 = 1,355,178 : x
  2. Step 2: Convert to fraction form
    894,765/1,355,178 = 1,355,178/x
  3. Step 3: Cross multiply
    894,765x = 1,355,178 × 1,355,178
  4. Step 4: Simplify right side
    894,765x = 1,836,507,411,684
  5. Step 5: Solve for x
    x = 1,836,507,411,684/894,765
  6. Step 6: Final answer
    x = 2,052,502.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.