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Finding the Third Proportional to 410,352 and 926,072

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Solution

The third proportional to 410,352 and 926,072 is: 2,089,935.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,352 : 926,072 = 926,072 : x
  2. Step 2: Convert to fraction form
    410,352/926,072 = 926,072/x
  3. Step 3: Cross multiply
    410,352x = 926,072 × 926,072
  4. Step 4: Simplify right side
    410,352x = 857,609,349,184
  5. Step 5: Solve for x
    x = 857,609,349,184/410,352
  6. Step 6: Final answer
    x = 2,089,935.83

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.