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Finding the Third Proportional to 610,470 and 933,921

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Solution

The third proportional to 610,470 and 933,921 is: 1,428,749.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,470 : 933,921 = 933,921 : x
  2. Step 2: Convert to fraction form
    610,470/933,921 = 933,921/x
  3. Step 3: Cross multiply
    610,470x = 933,921 × 933,921
  4. Step 4: Simplify right side
    610,470x = 872,208,434,241
  5. Step 5: Solve for x
    x = 872,208,434,241/610,470
  6. Step 6: Final answer
    x = 1,428,749.05

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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.