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Finding the Third Proportional to 819,312 and 1,192,944

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Solution

The third proportional to 819,312 and 1,192,944 is: 1,736,963.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,312 : 1,192,944 = 1,192,944 : x
  2. Step 2: Convert to fraction form
    819,312/1,192,944 = 1,192,944/x
  3. Step 3: Cross multiply
    819,312x = 1,192,944 × 1,192,944
  4. Step 4: Simplify right side
    819,312x = 1,423,115,387,136
  5. Step 5: Solve for x
    x = 1,423,115,387,136/819,312
  6. Step 6: Final answer
    x = 1,736,963.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.