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Finding the Third Proportional to 700,543.69 and 1,484,385.75

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Solution

The third proportional to 700,543.69 and 1,484,385.75 is: 3,145,272.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,543.69 : 1,484,385.75 = 1,484,385.75 : x
  2. Step 2: Convert to fraction form
    700,543.69/1,484,385.75 = 1,484,385.75/x
  3. Step 3: Cross multiply
    700,543.69x = 1,484,385.75 × 1,484,385.75
  4. Step 4: Simplify right side
    700,543.69x = 2,203,401,054,803.06
  5. Step 5: Solve for x
    x = 2,203,401,054,803.06/700,543.69
  6. Step 6: Final answer
    x = 3,145,272.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.