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Finding the Third Proportional to 965,569 and 1,460,781

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Solution

The third proportional to 965,569 and 1,460,781 is: 2,209,972.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,569 : 1,460,781 = 1,460,781 : x
  2. Step 2: Convert to fraction form
    965,569/1,460,781 = 1,460,781/x
  3. Step 3: Cross multiply
    965,569x = 1,460,781 × 1,460,781
  4. Step 4: Simplify right side
    965,569x = 2,133,881,129,961
  5. Step 5: Solve for x
    x = 2,133,881,129,961/965,569
  6. Step 6: Final answer
    x = 2,209,972.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.