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Finding the Third Proportional to 711,072 and 1,450,752

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Solution

The third proportional to 711,072 and 1,450,752 is: 2,959,870.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,072 : 1,450,752 = 1,450,752 : x
  2. Step 2: Convert to fraction form
    711,072/1,450,752 = 1,450,752/x
  3. Step 3: Cross multiply
    711,072x = 1,450,752 × 1,450,752
  4. Step 4: Simplify right side
    711,072x = 2,104,681,365,504
  5. Step 5: Solve for x
    x = 2,104,681,365,504/711,072
  6. Step 6: Final answer
    x = 2,959,870.96

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.