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Finding the Third Proportional to 761,164 and 1,576,281

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Solution

The third proportional to 761,164 and 1,576,281 is: 3,264,292.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,164 : 1,576,281 = 1,576,281 : x
  2. Step 2: Convert to fraction form
    761,164/1,576,281 = 1,576,281/x
  3. Step 3: Cross multiply
    761,164x = 1,576,281 × 1,576,281
  4. Step 4: Simplify right side
    761,164x = 2,484,661,790,961
  5. Step 5: Solve for x
    x = 2,484,661,790,961/761,164
  6. Step 6: Final answer
    x = 3,264,292.31

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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.