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Finding the Third Proportional to 645,788 and 886,492

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Solution

The third proportional to 645,788 and 886,492 is: 1,216,913.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,788 : 886,492 = 886,492 : x
  2. Step 2: Convert to fraction form
    645,788/886,492 = 886,492/x
  3. Step 3: Cross multiply
    645,788x = 886,492 × 886,492
  4. Step 4: Simplify right side
    645,788x = 785,868,066,064
  5. Step 5: Solve for x
    x = 785,868,066,064/645,788
  6. Step 6: Final answer
    x = 1,216,913.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.