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Finding the Third Proportional to 693,528 and 1,490,520

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Solution

The third proportional to 693,528 and 1,490,520 is: 3,203,403.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,528 : 1,490,520 = 1,490,520 : x
  2. Step 2: Convert to fraction form
    693,528/1,490,520 = 1,490,520/x
  3. Step 3: Cross multiply
    693,528x = 1,490,520 × 1,490,520
  4. Step 4: Simplify right side
    693,528x = 2,221,649,870,400
  5. Step 5: Solve for x
    x = 2,221,649,870,400/693,528
  6. Step 6: Final answer
    x = 3,203,403.28

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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.