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Finding the Third Proportional to 556,932 and 896,742

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Solution

The third proportional to 556,932 and 896,742 is: 1,443,885.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,932 : 896,742 = 896,742 : x
  2. Step 2: Convert to fraction form
    556,932/896,742 = 896,742/x
  3. Step 3: Cross multiply
    556,932x = 896,742 × 896,742
  4. Step 4: Simplify right side
    556,932x = 804,146,214,564
  5. Step 5: Solve for x
    x = 804,146,214,564/556,932
  6. Step 6: Final answer
    x = 1,443,885.81

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.