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Finding the Third Proportional to 693,731 and 1,513,510

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Solution

The third proportional to 693,731 and 1,513,510 is: 3,302,018.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,731 : 1,513,510 = 1,513,510 : x
  2. Step 2: Convert to fraction form
    693,731/1,513,510 = 1,513,510/x
  3. Step 3: Cross multiply
    693,731x = 1,513,510 × 1,513,510
  4. Step 4: Simplify right side
    693,731x = 2,290,712,520,100
  5. Step 5: Solve for x
    x = 2,290,712,520,100/693,731
  6. Step 6: Final answer
    x = 3,302,018.39

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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.