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Finding the Third Proportional to 610,440 and 933,804

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Solution

The third proportional to 610,440 and 933,804 is: 1,428,461.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,440 : 933,804 = 933,804 : x
  2. Step 2: Convert to fraction form
    610,440/933,804 = 933,804/x
  3. Step 3: Cross multiply
    610,440x = 933,804 × 933,804
  4. Step 4: Simplify right side
    610,440x = 871,989,910,416
  5. Step 5: Solve for x
    x = 871,989,910,416/610,440
  6. Step 6: Final answer
    x = 1,428,461.29

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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.