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Finding the Third Proportional to 700,539.10 and 1,484,374.99

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Solution

The third proportional to 700,539.10 and 1,484,374.99 is: 3,145,247.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,539.10 : 1,484,374.99 = 1,484,374.99 : x
  2. Step 2: Convert to fraction form
    700,539.10/1,484,374.99 = 1,484,374.99/x
  3. Step 3: Cross multiply
    700,539.10x = 1,484,374.99 × 1,484,374.99
  4. Step 4: Simplify right side
    700,539.10x = 2,203,369,117,431.64
  5. Step 5: Solve for x
    x = 2,203,369,117,431.64/700,539.10
  6. Step 6: Final answer
    x = 3,145,247.88

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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.