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Finding the Third Proportional to 574,632 and 909,454

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Solution

The third proportional to 574,632 and 909,454 is: 1,439,367.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,632 : 909,454 = 909,454 : x
  2. Step 2: Convert to fraction form
    574,632/909,454 = 909,454/x
  3. Step 3: Cross multiply
    574,632x = 909,454 × 909,454
  4. Step 4: Simplify right side
    574,632x = 827,106,578,116
  5. Step 5: Solve for x
    x = 827,106,578,116/574,632
  6. Step 6: Final answer
    x = 1,439,367.42

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.