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Finding the Third Proportional to 711,744 and 1,547,392

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Solution

The third proportional to 711,744 and 1,547,392 is: 3,364,161.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,744 : 1,547,392 = 1,547,392 : x
  2. Step 2: Convert to fraction form
    711,744/1,547,392 = 1,547,392/x
  3. Step 3: Cross multiply
    711,744x = 1,547,392 × 1,547,392
  4. Step 4: Simplify right side
    711,744x = 2,394,422,001,664
  5. Step 5: Solve for x
    x = 2,394,422,001,664/711,744
  6. Step 6: Final answer
    x = 3,364,161.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.