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Finding the Third Proportional to 919,085 and 1,346,587

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Solution

The third proportional to 919,085 and 1,346,587 is: 1,972,936.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,085 : 1,346,587 = 1,346,587 : x
  2. Step 2: Convert to fraction form
    919,085/1,346,587 = 1,346,587/x
  3. Step 3: Cross multiply
    919,085x = 1,346,587 × 1,346,587
  4. Step 4: Simplify right side
    919,085x = 1,813,296,548,569
  5. Step 5: Solve for x
    x = 1,813,296,548,569/919,085
  6. Step 6: Final answer
    x = 1,972,936.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.