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Finding the Third Proportional to 1,457,612.72 and 2,281,359.94

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Solution

The third proportional to 1,457,612.72 and 2,281,359.94 is: 3,570,635.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457,612.72 : 2,281,359.94 = 2,281,359.94 : x
  2. Step 2: Convert to fraction form
    1,457,612.72/2,281,359.94 = 2,281,359.94/x
  3. Step 3: Cross multiply
    1,457,612.72x = 2,281,359.94 × 2,281,359.94
  4. Step 4: Simplify right side
    1,457,612.72x = 5,204,603,164,430.00
  5. Step 5: Solve for x
    x = 5,204,603,164,430.00/1,457,612.72
  6. Step 6: Final answer
    x = 3,570,635.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.