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Finding the Third Proportional to 724,364 and 1,573,385

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Solution

The third proportional to 724,364 and 1,573,385 is: 3,417,536.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,364 : 1,573,385 = 1,573,385 : x
  2. Step 2: Convert to fraction form
    724,364/1,573,385 = 1,573,385/x
  3. Step 3: Cross multiply
    724,364x = 1,573,385 × 1,573,385
  4. Step 4: Simplify right side
    724,364x = 2,475,540,358,225
  5. Step 5: Solve for x
    x = 2,475,540,358,225/724,364
  6. Step 6: Final answer
    x = 3,417,536.43

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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.