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Finding the Third Proportional to 375,752 and 886,492

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Solution

The third proportional to 375,752 and 886,492 is: 2,091,454.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,752 : 886,492 = 886,492 : x
  2. Step 2: Convert to fraction form
    375,752/886,492 = 886,492/x
  3. Step 3: Cross multiply
    375,752x = 886,492 × 886,492
  4. Step 4: Simplify right side
    375,752x = 785,868,066,064
  5. Step 5: Solve for x
    x = 785,868,066,064/375,752
  6. Step 6: Final answer
    x = 2,091,454.11

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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.