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Finding the Third Proportional to 997,106 and 2,176,948

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Solution

The third proportional to 997,106 and 2,176,948 is: 4,752,857.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,106 : 2,176,948 = 2,176,948 : x
  2. Step 2: Convert to fraction form
    997,106/2,176,948 = 2,176,948/x
  3. Step 3: Cross multiply
    997,106x = 2,176,948 × 2,176,948
  4. Step 4: Simplify right side
    997,106x = 4,739,102,594,704
  5. Step 5: Solve for x
    x = 4,739,102,594,704/997,106
  6. Step 6: Final answer
    x = 4,752,857.36

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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.