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Finding the Third Proportional to 1,630,584 and 3,458,484

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Solution

The third proportional to 1,630,584 and 3,458,484 is: 7,335,477.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630,584 : 3,458,484 = 3,458,484 : x
  2. Step 2: Convert to fraction form
    1,630,584/3,458,484 = 3,458,484/x
  3. Step 3: Cross multiply
    1,630,584x = 3,458,484 × 3,458,484
  4. Step 4: Simplify right side
    1,630,584x = 11,961,111,578,256
  5. Step 5: Solve for x
    x = 11,961,111,578,256/1,630,584
  6. Step 6: Final answer
    x = 7,335,477.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.