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Finding the Third Proportional to 610,472 and 933,858

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Solution

The third proportional to 610,472 and 933,858 is: 1,428,551.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,472 : 933,858 = 933,858 : x
  2. Step 2: Convert to fraction form
    610,472/933,858 = 933,858/x
  3. Step 3: Cross multiply
    610,472x = 933,858 × 933,858
  4. Step 4: Simplify right side
    610,472x = 872,090,764,164
  5. Step 5: Solve for x
    x = 872,090,764,164/610,472
  6. Step 6: Final answer
    x = 1,428,551.62

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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.