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Finding the Third Proportional to 2,405,582.30 and 5,234,649.05

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Solution

The third proportional to 2,405,582.30 and 5,234,649.05 is: 11,390,818.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405,582.30 : 5,234,649.05 = 5,234,649.05 : x
  2. Step 2: Convert to fraction form
    2,405,582.30/5,234,649.05 = 5,234,649.05/x
  3. Step 3: Cross multiply
    2,405,582.30x = 5,234,649.05 × 5,234,649.05
  4. Step 4: Simplify right side
    2,405,582.30x = 27,401,550,643,949.35
  5. Step 5: Solve for x
    x = 27,401,550,643,949.35/2,405,582.30
  6. Step 6: Final answer
    x = 11,390,818.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.