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Finding the Third Proportional to 483,707 and 1,025,076

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Solution

The third proportional to 483,707 and 1,025,076 is: 2,172,349.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,707 : 1,025,076 = 1,025,076 : x
  2. Step 2: Convert to fraction form
    483,707/1,025,076 = 1,025,076/x
  3. Step 3: Cross multiply
    483,707x = 1,025,076 × 1,025,076
  4. Step 4: Simplify right side
    483,707x = 1,050,780,805,776
  5. Step 5: Solve for x
    x = 1,050,780,805,776/483,707
  6. Step 6: Final answer
    x = 2,172,349.80

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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.