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Finding the Third Proportional to 935,769 and 1,487,640

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Solution

The third proportional to 935,769 and 1,487,640 is: 2,364,977.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,769 : 1,487,640 = 1,487,640 : x
  2. Step 2: Convert to fraction form
    935,769/1,487,640 = 1,487,640/x
  3. Step 3: Cross multiply
    935,769x = 1,487,640 × 1,487,640
  4. Step 4: Simplify right side
    935,769x = 2,213,072,769,600
  5. Step 5: Solve for x
    x = 2,213,072,769,600/935,769
  6. Step 6: Final answer
    x = 2,364,977.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.