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Finding the Third Proportional to 610,587 and 934,012

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Solution

The third proportional to 610,587 and 934,012 is: 1,428,753.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,587 : 934,012 = 934,012 : x
  2. Step 2: Convert to fraction form
    610,587/934,012 = 934,012/x
  3. Step 3: Cross multiply
    610,587x = 934,012 × 934,012
  4. Step 4: Simplify right side
    610,587x = 872,378,416,144
  5. Step 5: Solve for x
    x = 872,378,416,144/610,587
  6. Step 6: Final answer
    x = 1,428,753.67

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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.