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Finding the Third Proportional to 699,681 and 1,496,628

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Solution

The third proportional to 699,681 and 1,496,628 is: 3,201,309.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,681 : 1,496,628 = 1,496,628 : x
  2. Step 2: Convert to fraction form
    699,681/1,496,628 = 1,496,628/x
  3. Step 3: Cross multiply
    699,681x = 1,496,628 × 1,496,628
  4. Step 4: Simplify right side
    699,681x = 2,239,895,370,384
  5. Step 5: Solve for x
    x = 2,239,895,370,384/699,681
  6. Step 6: Final answer
    x = 3,201,309.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.