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Finding the Third Proportional to 782,057 and 1,713,590

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Solution

The third proportional to 782,057 and 1,713,590 is: 3,754,701.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,057 : 1,713,590 = 1,713,590 : x
  2. Step 2: Convert to fraction form
    782,057/1,713,590 = 1,713,590/x
  3. Step 3: Cross multiply
    782,057x = 1,713,590 × 1,713,590
  4. Step 4: Simplify right side
    782,057x = 2,936,390,688,100
  5. Step 5: Solve for x
    x = 2,936,390,688,100/782,057
  6. Step 6: Final answer
    x = 3,754,701.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.