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Finding the Third Proportional to 705,024 and 1,457,472

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Solution

The third proportional to 705,024 and 1,457,472 is: 3,012,982.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,024 : 1,457,472 = 1,457,472 : x
  2. Step 2: Convert to fraction form
    705,024/1,457,472 = 1,457,472/x
  3. Step 3: Cross multiply
    705,024x = 1,457,472 × 1,457,472
  4. Step 4: Simplify right side
    705,024x = 2,124,224,630,784
  5. Step 5: Solve for x
    x = 2,124,224,630,784/705,024
  6. Step 6: Final answer
    x = 3,012,982.01

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.