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Finding the Third Proportional to 1,964,921 and 3,124,533

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Solution

The third proportional to 1,964,921 and 3,124,533 is: 4,968,498.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964,921 : 3,124,533 = 3,124,533 : x
  2. Step 2: Convert to fraction form
    1,964,921/3,124,533 = 3,124,533/x
  3. Step 3: Cross multiply
    1,964,921x = 3,124,533 × 3,124,533
  4. Step 4: Simplify right side
    1,964,921x = 9,762,706,468,089
  5. Step 5: Solve for x
    x = 9,762,706,468,089/1,964,921
  6. Step 6: Final answer
    x = 4,968,498.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.