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Finding the Third Proportional to 882,123.75 and 1,297,341

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Solution

The third proportional to 882,123.75 and 1,297,341 is: 1,908,001.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,123.75 : 1,297,341 = 1,297,341 : x
  2. Step 2: Convert to fraction form
    882,123.75/1,297,341 = 1,297,341/x
  3. Step 3: Cross multiply
    882,123.75x = 1,297,341 × 1,297,341
  4. Step 4: Simplify right side
    882,123.75x = 1,683,093,670,281
  5. Step 5: Solve for x
    x = 1,683,093,670,281/882,123.75
  6. Step 6: Final answer
    x = 1,908,001.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.