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Finding the Third Proportional to 576,970 and 1,497,781

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Solution

The third proportional to 576,970 and 1,497,781 is: 3,888,153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,970 : 1,497,781 = 1,497,781 : x
  2. Step 2: Convert to fraction form
    576,970/1,497,781 = 1,497,781/x
  3. Step 3: Cross multiply
    576,970x = 1,497,781 × 1,497,781
  4. Step 4: Simplify right side
    576,970x = 2,243,347,923,961
  5. Step 5: Solve for x
    x = 2,243,347,923,961/576,970
  6. Step 6: Final answer
    x = 3,888,153.50

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.