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Finding the Third Proportional to 710,958.94 and 1,521,563.06

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Solution

The third proportional to 710,958.94 and 1,521,563.06 is: 3,256,382.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,958.94 : 1,521,563.06 = 1,521,563.06 : x
  2. Step 2: Convert to fraction form
    710,958.94/1,521,563.06 = 1,521,563.06/x
  3. Step 3: Cross multiply
    710,958.94x = 1,521,563.06 × 1,521,563.06
  4. Step 4: Simplify right side
    710,958.94x = 2,315,154,153,164.38
  5. Step 5: Solve for x
    x = 2,315,154,153,164.38/710,958.94
  6. Step 6: Final answer
    x = 3,256,382.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.