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Finding the Third Proportional to 1,648,733 and 3,579,463.50

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Solution

The third proportional to 1,648,733 and 3,579,463.50 is: 7,771,154.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,733 : 3,579,463.50 = 3,579,463.50 : x
  2. Step 2: Convert to fraction form
    1,648,733/3,579,463.50 = 3,579,463.50/x
  3. Step 3: Cross multiply
    1,648,733x = 3,579,463.50 × 3,579,463.50
  4. Step 4: Simplify right side
    1,648,733x = 12,812,558,947,832.25
  5. Step 5: Solve for x
    x = 12,812,558,947,832.25/1,648,733
  6. Step 6: Final answer
    x = 7,771,154.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.