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Finding the Third Proportional to 626,948 and 896,196

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Solution

The third proportional to 626,948 and 896,196 is: 1,281,074.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,948 : 896,196 = 896,196 : x
  2. Step 2: Convert to fraction form
    626,948/896,196 = 896,196/x
  3. Step 3: Cross multiply
    626,948x = 896,196 × 896,196
  4. Step 4: Simplify right side
    626,948x = 803,167,270,416
  5. Step 5: Solve for x
    x = 803,167,270,416/626,948
  6. Step 6: Final answer
    x = 1,281,074.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.