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Finding the Third Proportional to 428,476 and 1,001,386

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Solution

The third proportional to 428,476 and 1,001,386 is: 2,340,326.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,476 : 1,001,386 = 1,001,386 : x
  2. Step 2: Convert to fraction form
    428,476/1,001,386 = 1,001,386/x
  3. Step 3: Cross multiply
    428,476x = 1,001,386 × 1,001,386
  4. Step 4: Simplify right side
    428,476x = 1,002,773,920,996
  5. Step 5: Solve for x
    x = 1,002,773,920,996/428,476
  6. Step 6: Final answer
    x = 2,340,326.93

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.