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Finding the Third Proportional to 726,348 and 1,200,402

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Solution

The third proportional to 726,348 and 1,200,402 is: 1,983,849.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,348 : 1,200,402 = 1,200,402 : x
  2. Step 2: Convert to fraction form
    726,348/1,200,402 = 1,200,402/x
  3. Step 3: Cross multiply
    726,348x = 1,200,402 × 1,200,402
  4. Step 4: Simplify right side
    726,348x = 1,440,964,961,604
  5. Step 5: Solve for x
    x = 1,440,964,961,604/726,348
  6. Step 6: Final answer
    x = 1,983,849.29

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.