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Finding the Third Proportional to 470,271 and 1,028,886

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Solution

The third proportional to 470,271 and 1,028,886 is: 2,251,056.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,271 : 1,028,886 = 1,028,886 : x
  2. Step 2: Convert to fraction form
    470,271/1,028,886 = 1,028,886/x
  3. Step 3: Cross multiply
    470,271x = 1,028,886 × 1,028,886
  4. Step 4: Simplify right side
    470,271x = 1,058,606,400,996
  5. Step 5: Solve for x
    x = 1,058,606,400,996/470,271
  6. Step 6: Final answer
    x = 2,251,056.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.