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Finding the Third Proportional to 1,001,581 and 2,122,346

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Solution

The third proportional to 1,001,581 and 2,122,346 is: 4,497,242.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001,581 : 2,122,346 = 2,122,346 : x
  2. Step 2: Convert to fraction form
    1,001,581/2,122,346 = 2,122,346/x
  3. Step 3: Cross multiply
    1,001,581x = 2,122,346 × 2,122,346
  4. Step 4: Simplify right side
    1,001,581x = 4,504,352,543,716
  5. Step 5: Solve for x
    x = 4,504,352,543,716/1,001,581
  6. Step 6: Final answer
    x = 4,497,242.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.