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Finding the Third Proportional to 556,944 and 896,763

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Solution

The third proportional to 556,944 and 896,763 is: 1,443,922.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,944 : 896,763 = 896,763 : x
  2. Step 2: Convert to fraction form
    556,944/896,763 = 896,763/x
  3. Step 3: Cross multiply
    556,944x = 896,763 × 896,763
  4. Step 4: Simplify right side
    556,944x = 804,183,878,169
  5. Step 5: Solve for x
    x = 804,183,878,169/556,944
  6. Step 6: Final answer
    x = 1,443,922.33

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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.