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Finding the Third Proportional to 592,042.92 and 1,224,701.02

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Solution

The third proportional to 592,042.92 and 1,224,701.02 is: 2,533,418.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,042.92 : 1,224,701.02 = 1,224,701.02 : x
  2. Step 2: Convert to fraction form
    592,042.92/1,224,701.02 = 1,224,701.02/x
  3. Step 3: Cross multiply
    592,042.92x = 1,224,701.02 × 1,224,701.02
  4. Step 4: Simplify right side
    592,042.92x = 1,499,892,577,672.91
  5. Step 5: Solve for x
    x = 1,499,892,577,672.91/592,042.92
  6. Step 6: Final answer
    x = 2,533,418.65

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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.