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Finding the Third Proportional to 832,032 and 1,963,440

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Solution

The third proportional to 832,032 and 1,963,440 is: 4,633,351.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,032 : 1,963,440 = 1,963,440 : x
  2. Step 2: Convert to fraction form
    832,032/1,963,440 = 1,963,440/x
  3. Step 3: Cross multiply
    832,032x = 1,963,440 × 1,963,440
  4. Step 4: Simplify right side
    832,032x = 3,855,096,633,600
  5. Step 5: Solve for x
    x = 3,855,096,633,600/832,032
  6. Step 6: Final answer
    x = 4,633,351.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.