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Finding the Third Proportional to 749,622.33 and 1,096,319.65

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Solution

The third proportional to 749,622.33 and 1,096,319.65 is: 1,603,363.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,622.33 : 1,096,319.65 = 1,096,319.65 : x
  2. Step 2: Convert to fraction form
    749,622.33/1,096,319.65 = 1,096,319.65/x
  3. Step 3: Cross multiply
    749,622.33x = 1,096,319.65 × 1,096,319.65
  4. Step 4: Simplify right side
    749,622.33x = 1,201,916,784,397.67
  5. Step 5: Solve for x
    x = 1,201,916,784,397.67/749,622.33
  6. Step 6: Final answer
    x = 1,603,363.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.