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Finding the Third Proportional to 474,412 and 1,021,360

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Solution

The third proportional to 474,412 and 1,021,360 is: 2,198,882.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,412 : 1,021,360 = 1,021,360 : x
  2. Step 2: Convert to fraction form
    474,412/1,021,360 = 1,021,360/x
  3. Step 3: Cross multiply
    474,412x = 1,021,360 × 1,021,360
  4. Step 4: Simplify right side
    474,412x = 1,043,176,249,600
  5. Step 5: Solve for x
    x = 1,043,176,249,600/474,412
  6. Step 6: Final answer
    x = 2,198,882.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.