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Finding the Third Proportional to 763,440 and 1,121,832

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Solution

The third proportional to 763,440 and 1,121,832 is: 1,648,468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,440 : 1,121,832 = 1,121,832 : x
  2. Step 2: Convert to fraction form
    763,440/1,121,832 = 1,121,832/x
  3. Step 3: Cross multiply
    763,440x = 1,121,832 × 1,121,832
  4. Step 4: Simplify right side
    763,440x = 1,258,507,036,224
  5. Step 5: Solve for x
    x = 1,258,507,036,224/763,440
  6. Step 6: Final answer
    x = 1,648,468.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.