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Finding the Third Proportional to 562,202 and 894,156

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Solution

The third proportional to 562,202 and 894,156 is: 1,422,113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,202 : 894,156 = 894,156 : x
  2. Step 2: Convert to fraction form
    562,202/894,156 = 894,156/x
  3. Step 3: Cross multiply
    562,202x = 894,156 × 894,156
  4. Step 4: Simplify right side
    562,202x = 799,514,952,336
  5. Step 5: Solve for x
    x = 799,514,952,336/562,202
  6. Step 6: Final answer
    x = 1,422,113.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.