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Finding the Third Proportional to 610,506 and 933,903

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Solution

The third proportional to 610,506 and 933,903 is: 1,428,609.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,506 : 933,903 = 933,903 : x
  2. Step 2: Convert to fraction form
    610,506/933,903 = 933,903/x
  3. Step 3: Cross multiply
    610,506x = 933,903 × 933,903
  4. Step 4: Simplify right side
    610,506x = 872,174,813,409
  5. Step 5: Solve for x
    x = 872,174,813,409/610,506
  6. Step 6: Final answer
    x = 1,428,609.73

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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.