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Finding the Third Proportional to 596,492 and 903,426

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Solution

The third proportional to 596,492 and 903,426 is: 1,368,297.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,492 : 903,426 = 903,426 : x
  2. Step 2: Convert to fraction form
    596,492/903,426 = 903,426/x
  3. Step 3: Cross multiply
    596,492x = 903,426 × 903,426
  4. Step 4: Simplify right side
    596,492x = 816,178,537,476
  5. Step 5: Solve for x
    x = 816,178,537,476/596,492
  6. Step 6: Final answer
    x = 1,368,297.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.