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Finding the Third Proportional to 610,427 and 933,785

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Solution

The third proportional to 610,427 and 933,785 is: 1,428,433.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,427 : 933,785 = 933,785 : x
  2. Step 2: Convert to fraction form
    610,427/933,785 = 933,785/x
  3. Step 3: Cross multiply
    610,427x = 933,785 × 933,785
  4. Step 4: Simplify right side
    610,427x = 871,954,426,225
  5. Step 5: Solve for x
    x = 871,954,426,225/610,427
  6. Step 6: Final answer
    x = 1,428,433.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.