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Finding the Third Proportional to 679,088 and 1,048,176

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Solution

The third proportional to 679,088 and 1,048,176 is: 1,617,865.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,088 : 1,048,176 = 1,048,176 : x
  2. Step 2: Convert to fraction form
    679,088/1,048,176 = 1,048,176/x
  3. Step 3: Cross multiply
    679,088x = 1,048,176 × 1,048,176
  4. Step 4: Simplify right side
    679,088x = 1,098,672,926,976
  5. Step 5: Solve for x
    x = 1,098,672,926,976/679,088
  6. Step 6: Final answer
    x = 1,617,865.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.