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Finding the Third Proportional to 470,482 and 1,001,654

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Solution

The third proportional to 470,482 and 1,001,654 is: 2,132,516.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,482 : 1,001,654 = 1,001,654 : x
  2. Step 2: Convert to fraction form
    470,482/1,001,654 = 1,001,654/x
  3. Step 3: Cross multiply
    470,482x = 1,001,654 × 1,001,654
  4. Step 4: Simplify right side
    470,482x = 1,003,310,735,716
  5. Step 5: Solve for x
    x = 1,003,310,735,716/470,482
  6. Step 6: Final answer
    x = 2,132,516.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.