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Finding the Third Proportional to 1,961,830.13 and 4,310,349.19

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Solution

The third proportional to 1,961,830.13 and 4,310,349.19 is: 9,470,295.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961,830.13 : 4,310,349.19 = 4,310,349.19 : x
  2. Step 2: Convert to fraction form
    1,961,830.13/4,310,349.19 = 4,310,349.19/x
  3. Step 3: Cross multiply
    1,961,830.13x = 4,310,349.19 × 4,310,349.19
  4. Step 4: Simplify right side
    1,961,830.13x = 18,579,110,118,181.91
  5. Step 5: Solve for x
    x = 18,579,110,118,181.91/1,961,830.13
  6. Step 6: Final answer
    x = 9,470,295.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.