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Finding the Third Proportional to 755,061.75 and 1,178,519.63

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Solution

The third proportional to 755,061.75 and 1,178,519.63 is: 1,839,463.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,061.75 : 1,178,519.63 = 1,178,519.63 : x
  2. Step 2: Convert to fraction form
    755,061.75/1,178,519.63 = 1,178,519.63/x
  3. Step 3: Cross multiply
    755,061.75x = 1,178,519.63 × 1,178,519.63
  4. Step 4: Simplify right side
    755,061.75x = 1,388,908,506,510.14
  5. Step 5: Solve for x
    x = 1,388,908,506,510.14/755,061.75
  6. Step 6: Final answer
    x = 1,839,463.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.