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Finding the Third Proportional to 474,854.63 and 998,916.75

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Solution

The third proportional to 474,854.63 and 998,916.75 is: 2,101,347.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,854.63 : 998,916.75 = 998,916.75 : x
  2. Step 2: Convert to fraction form
    474,854.63/998,916.75 = 998,916.75/x
  3. Step 3: Cross multiply
    474,854.63x = 998,916.75 × 998,916.75
  4. Step 4: Simplify right side
    474,854.63x = 997,834,673,430.56
  5. Step 5: Solve for x
    x = 997,834,673,430.56/474,854.63
  6. Step 6: Final answer
    x = 2,101,347.70

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.