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Finding the Third Proportional to 4,142,952 and 6,595,056

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Solution

The third proportional to 4,142,952 and 6,595,056 is: 10,498,495.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142,952 : 6,595,056 = 6,595,056 : x
  2. Step 2: Convert to fraction form
    4,142,952/6,595,056 = 6,595,056/x
  3. Step 3: Cross multiply
    4,142,952x = 6,595,056 × 6,595,056
  4. Step 4: Simplify right side
    4,142,952x = 43,494,763,643,136
  5. Step 5: Solve for x
    x = 43,494,763,643,136/4,142,952
  6. Step 6: Final answer
    x = 10,498,495.67

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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.