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Finding the Third Proportional to 523,856 and 1,127,970

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Solution

The third proportional to 523,856 and 1,127,970 is: 2,428,752.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,856 : 1,127,970 = 1,127,970 : x
  2. Step 2: Convert to fraction form
    523,856/1,127,970 = 1,127,970/x
  3. Step 3: Cross multiply
    523,856x = 1,127,970 × 1,127,970
  4. Step 4: Simplify right side
    523,856x = 1,272,316,320,900
  5. Step 5: Solve for x
    x = 1,272,316,320,900/523,856
  6. Step 6: Final answer
    x = 2,428,752.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.