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Finding the Third Proportional to 832,472 and 1,245,369

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Solution

The third proportional to 832,472 and 1,245,369 is: 1,863,058.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,472 : 1,245,369 = 1,245,369 : x
  2. Step 2: Convert to fraction form
    832,472/1,245,369 = 1,245,369/x
  3. Step 3: Cross multiply
    832,472x = 1,245,369 × 1,245,369
  4. Step 4: Simplify right side
    832,472x = 1,550,943,946,161
  5. Step 5: Solve for x
    x = 1,550,943,946,161/832,472
  6. Step 6: Final answer
    x = 1,863,058.39

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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.