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Finding the Third Proportional to 761,158.76 and 1,576,270.64

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Solution

The third proportional to 761,158.76 and 1,576,270.64 is: 3,264,271.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,158.76 : 1,576,270.64 = 1,576,270.64 : x
  2. Step 2: Convert to fraction form
    761,158.76/1,576,270.64 = 1,576,270.64/x
  3. Step 3: Cross multiply
    761,158.76x = 1,576,270.64 × 1,576,270.64
  4. Step 4: Simplify right side
    761,158.76x = 2,484,629,127,878.19
  5. Step 5: Solve for x
    x = 2,484,629,127,878.19/761,158.76
  6. Step 6: Final answer
    x = 3,264,271.87

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.