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Finding the Third Proportional to 1,096,133,484 and 1,583,723,586

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Solution

The third proportional to 1,096,133,484 and 1,583,723,586 is: 2,288,207,078.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096,133,484 : 1,583,723,586 = 1,583,723,586 : x
  2. Step 2: Convert to fraction form
    1,096,133,484/1,583,723,586 = 1,583,723,586/x
  3. Step 3: Cross multiply
    1,096,133,484x = 1,583,723,586 × 1,583,723,586
  4. Step 4: Simplify right side
    1,096,133,484x = 2,508,180,396,852,699,648
  5. Step 5: Solve for x
    x = 2,508,180,396,852,699,648/1,096,133,484
  6. Step 6: Final answer
    x = 2,288,207,078.30

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.