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Finding the Third Proportional to 1,197,001 and 2,562,140

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Solution

The third proportional to 1,197,001 and 2,562,140 is: 5,484,173.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,001 : 2,562,140 = 2,562,140 : x
  2. Step 2: Convert to fraction form
    1,197,001/2,562,140 = 2,562,140/x
  3. Step 3: Cross multiply
    1,197,001x = 2,562,140 × 2,562,140
  4. Step 4: Simplify right side
    1,197,001x = 6,564,561,379,600
  5. Step 5: Solve for x
    x = 6,564,561,379,600/1,197,001
  6. Step 6: Final answer
    x = 5,484,173.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.