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Finding the Third Proportional to 575,532 and 900,846

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Solution

The third proportional to 575,532 and 900,846 is: 1,410,040.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,532 : 900,846 = 900,846 : x
  2. Step 2: Convert to fraction form
    575,532/900,846 = 900,846/x
  3. Step 3: Cross multiply
    575,532x = 900,846 × 900,846
  4. Step 4: Simplify right side
    575,532x = 811,523,515,716
  5. Step 5: Solve for x
    x = 811,523,515,716/575,532
  6. Step 6: Final answer
    x = 1,410,040.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.