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Finding the Third Proportional to 1,577,906 and 2,563,587

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Solution

The third proportional to 1,577,906 and 2,563,587 is: 4,164,999.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577,906 : 2,563,587 = 2,563,587 : x
  2. Step 2: Convert to fraction form
    1,577,906/2,563,587 = 2,563,587/x
  3. Step 3: Cross multiply
    1,577,906x = 2,563,587 × 2,563,587
  4. Step 4: Simplify right side
    1,577,906x = 6,571,978,306,569
  5. Step 5: Solve for x
    x = 6,571,978,306,569/1,577,906
  6. Step 6: Final answer
    x = 4,164,999.88

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.