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Finding the Third Proportional to 676,056.38 and 1,572,042.94

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Solution

The third proportional to 676,056.38 and 1,572,042.94 is: 3,655,492.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,056.38 : 1,572,042.94 = 1,572,042.94 : x
  2. Step 2: Convert to fraction form
    676,056.38/1,572,042.94 = 1,572,042.94/x
  3. Step 3: Cross multiply
    676,056.38x = 1,572,042.94 × 1,572,042.94
  4. Step 4: Simplify right side
    676,056.38x = 2,471,318,997,343.63
  5. Step 5: Solve for x
    x = 2,471,318,997,343.63/676,056.38
  6. Step 6: Final answer
    x = 3,655,492.48

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.