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Finding the Third Proportional to 832,724 and 1,791,747

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Solution

The third proportional to 832,724 and 1,791,747 is: 3,855,247.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,724 : 1,791,747 = 1,791,747 : x
  2. Step 2: Convert to fraction form
    832,724/1,791,747 = 1,791,747/x
  3. Step 3: Cross multiply
    832,724x = 1,791,747 × 1,791,747
  4. Step 4: Simplify right side
    832,724x = 3,210,357,312,009
  5. Step 5: Solve for x
    x = 3,210,357,312,009/832,724
  6. Step 6: Final answer
    x = 3,855,247.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.