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Finding the Third Proportional to 610,442 and 933,807

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Solution

The third proportional to 610,442 and 933,807 is: 1,428,465.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,442 : 933,807 = 933,807 : x
  2. Step 2: Convert to fraction form
    610,442/933,807 = 933,807/x
  3. Step 3: Cross multiply
    610,442x = 933,807 × 933,807
  4. Step 4: Simplify right side
    610,442x = 871,995,513,249
  5. Step 5: Solve for x
    x = 871,995,513,249/610,442
  6. Step 6: Final answer
    x = 1,428,465.79

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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.