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Finding the Third Proportional to 1,432,164 and 3,119,964

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Solution

The third proportional to 1,432,164 and 3,119,964 is: 6,796,830.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432,164 : 3,119,964 = 3,119,964 : x
  2. Step 2: Convert to fraction form
    1,432,164/3,119,964 = 3,119,964/x
  3. Step 3: Cross multiply
    1,432,164x = 3,119,964 × 3,119,964
  4. Step 4: Simplify right side
    1,432,164x = 9,734,175,361,296
  5. Step 5: Solve for x
    x = 9,734,175,361,296/1,432,164
  6. Step 6: Final answer
    x = 6,796,830.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.