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Finding the Third Proportional to 711,978.75 and 1,535,283

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Solution

The third proportional to 711,978.75 and 1,535,283 is: 3,310,623.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,978.75 : 1,535,283 = 1,535,283 : x
  2. Step 2: Convert to fraction form
    711,978.75/1,535,283 = 1,535,283/x
  3. Step 3: Cross multiply
    711,978.75x = 1,535,283 × 1,535,283
  4. Step 4: Simplify right side
    711,978.75x = 2,357,093,890,089
  5. Step 5: Solve for x
    x = 2,357,093,890,089/711,978.75
  6. Step 6: Final answer
    x = 3,310,623.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.