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Finding the Third Proportional to 4,421,084 and 7,030,209

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Solution

The third proportional to 4,421,084 and 7,030,209 is: 11,179,122.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,421,084 : 7,030,209 = 7,030,209 : x
  2. Step 2: Convert to fraction form
    4,421,084/7,030,209 = 7,030,209/x
  3. Step 3: Cross multiply
    4,421,084x = 7,030,209 × 7,030,209
  4. Step 4: Simplify right side
    4,421,084x = 49,423,838,583,681
  5. Step 5: Solve for x
    x = 49,423,838,583,681/4,421,084
  6. Step 6: Final answer
    x = 11,179,122.27

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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.