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Finding the Third Proportional to 480,762 and 1,037,685

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Solution

The third proportional to 480,762 and 1,037,685 is: 2,239,757.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,762 : 1,037,685 = 1,037,685 : x
  2. Step 2: Convert to fraction form
    480,762/1,037,685 = 1,037,685/x
  3. Step 3: Cross multiply
    480,762x = 1,037,685 × 1,037,685
  4. Step 4: Simplify right side
    480,762x = 1,076,790,159,225
  5. Step 5: Solve for x
    x = 1,076,790,159,225/480,762
  6. Step 6: Final answer
    x = 2,239,757.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.