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Finding the Third Proportional to 726,160 and 1,576,304

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Solution

The third proportional to 726,160 and 1,576,304 is: 3,421,744.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,160 : 1,576,304 = 1,576,304 : x
  2. Step 2: Convert to fraction form
    726,160/1,576,304 = 1,576,304/x
  3. Step 3: Cross multiply
    726,160x = 1,576,304 × 1,576,304
  4. Step 4: Simplify right side
    726,160x = 2,484,734,300,416
  5. Step 5: Solve for x
    x = 2,484,734,300,416/726,160
  6. Step 6: Final answer
    x = 3,421,744.93

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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.