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Finding the Third Proportional to 482,357 and 1,050,430

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Solution

The third proportional to 482,357 and 1,050,430 is: 2,287,523.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,357 : 1,050,430 = 1,050,430 : x
  2. Step 2: Convert to fraction form
    482,357/1,050,430 = 1,050,430/x
  3. Step 3: Cross multiply
    482,357x = 1,050,430 × 1,050,430
  4. Step 4: Simplify right side
    482,357x = 1,103,403,184,900
  5. Step 5: Solve for x
    x = 1,103,403,184,900/482,357
  6. Step 6: Final answer
    x = 2,287,523.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.