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Finding the Third Proportional to 409,748 and 886,886

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Solution

The third proportional to 409,748 and 886,886 is: 1,919,635.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,748 : 886,886 = 886,886 : x
  2. Step 2: Convert to fraction form
    409,748/886,886 = 886,886/x
  3. Step 3: Cross multiply
    409,748x = 886,886 × 886,886
  4. Step 4: Simplify right side
    409,748x = 786,566,776,996
  5. Step 5: Solve for x
    x = 786,566,776,996/409,748
  6. Step 6: Final answer
    x = 1,919,635.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.