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Finding the Third Proportional to 610,176 and 933,424

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Solution

The third proportional to 610,176 and 933,424 is: 1,427,916.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,176 : 933,424 = 933,424 : x
  2. Step 2: Convert to fraction form
    610,176/933,424 = 933,424/x
  3. Step 3: Cross multiply
    610,176x = 933,424 × 933,424
  4. Step 4: Simplify right side
    610,176x = 871,280,363,776
  5. Step 5: Solve for x
    x = 871,280,363,776/610,176
  6. Step 6: Final answer
    x = 1,427,916.48

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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.