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Finding the Third Proportional to 584,991,313 and 1,190,412,964

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Solution

The third proportional to 584,991,313 and 1,190,412,964 is: 2,422,400,116.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,991,313 : 1,190,412,964 = 1,190,412,964 : x
  2. Step 2: Convert to fraction form
    584,991,313/1,190,412,964 = 1,190,412,964/x
  3. Step 3: Cross multiply
    584,991,313x = 1,190,412,964 × 1,190,412,964
  4. Step 4: Simplify right side
    584,991,313x = 1,417,083,024,859,265,280
  5. Step 5: Solve for x
    x = 1,417,083,024,859,265,280/584,991,313
  6. Step 6: Final answer
    x = 2,422,400,116.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.