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Finding the Third Proportional to 5,209,255.69 and 5,832,037.69

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Solution

The third proportional to 5,209,255.69 and 5,832,037.69 is: 6,529,275.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209,255.69 : 5,832,037.69 = 5,832,037.69 : x
  2. Step 2: Convert to fraction form
    5,209,255.69/5,832,037.69 = 5,832,037.69/x
  3. Step 3: Cross multiply
    5,209,255.69x = 5,832,037.69 × 5,832,037.69
  4. Step 4: Simplify right side
    5,209,255.69x = 34,012,663,588,420.35
  5. Step 5: Solve for x
    x = 34,012,663,588,420.35/5,209,255.69
  6. Step 6: Final answer
    x = 6,529,275.13

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.