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Finding the Third Proportional to 761,467 and 1,142,365

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Solution

The third proportional to 761,467 and 1,142,365 is: 1,713,794.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,467 : 1,142,365 = 1,142,365 : x
  2. Step 2: Convert to fraction form
    761,467/1,142,365 = 1,142,365/x
  3. Step 3: Cross multiply
    761,467x = 1,142,365 × 1,142,365
  4. Step 4: Simplify right side
    761,467x = 1,304,997,793,225
  5. Step 5: Solve for x
    x = 1,304,997,793,225/761,467
  6. Step 6: Final answer
    x = 1,713,794.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.