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Finding the Third Proportional to 951,897 and 2,077,429.50

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Solution

The third proportional to 951,897 and 2,077,429.50 is: 4,533,802.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    951,897 : 2,077,429.50 = 2,077,429.50 : x
  2. Step 2: Convert to fraction form
    951,897/2,077,429.50 = 2,077,429.50/x
  3. Step 3: Cross multiply
    951,897x = 2,077,429.50 × 2,077,429.50
  4. Step 4: Simplify right side
    951,897x = 4,315,713,327,470.25
  5. Step 5: Solve for x
    x = 4,315,713,327,470.25/951,897
  6. Step 6: Final answer
    x = 4,533,802.85

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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.