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Finding the Third Proportional to 1,596,450 and 2,527,464

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Solution

The third proportional to 1,596,450 and 2,527,464 is: 4,001,424.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,450 : 2,527,464 = 2,527,464 : x
  2. Step 2: Convert to fraction form
    1,596,450/2,527,464 = 2,527,464/x
  3. Step 3: Cross multiply
    1,596,450x = 2,527,464 × 2,527,464
  4. Step 4: Simplify right side
    1,596,450x = 6,388,074,271,296
  5. Step 5: Solve for x
    x = 6,388,074,271,296/1,596,450
  6. Step 6: Final answer
    x = 4,001,424.58

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.