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Finding the Third Proportional to 782,000 and 1,703,968

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Solution

The third proportional to 782,000 and 1,703,968 is: 3,712,924.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,000 : 1,703,968 = 1,703,968 : x
  2. Step 2: Convert to fraction form
    782,000/1,703,968 = 1,703,968/x
  3. Step 3: Cross multiply
    782,000x = 1,703,968 × 1,703,968
  4. Step 4: Simplify right side
    782,000x = 2,903,506,945,024
  5. Step 5: Solve for x
    x = 2,903,506,945,024/782,000
  6. Step 6: Final answer
    x = 3,712,924.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.