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Finding the Third Proportional to 428,352 and 904,928

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Solution

The third proportional to 428,352 and 904,928 is: 1,911,733.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,352 : 904,928 = 904,928 : x
  2. Step 2: Convert to fraction form
    428,352/904,928 = 904,928/x
  3. Step 3: Cross multiply
    428,352x = 904,928 × 904,928
  4. Step 4: Simplify right side
    428,352x = 818,894,685,184
  5. Step 5: Solve for x
    x = 818,894,685,184/428,352
  6. Step 6: Final answer
    x = 1,911,733.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.