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Finding the Third Proportional to 734,386 and 1,613,304

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Solution

The third proportional to 734,386 and 1,613,304 is: 3,544,116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,386 : 1,613,304 = 1,613,304 : x
  2. Step 2: Convert to fraction form
    734,386/1,613,304 = 1,613,304/x
  3. Step 3: Cross multiply
    734,386x = 1,613,304 × 1,613,304
  4. Step 4: Simplify right side
    734,386x = 2,602,749,796,416
  5. Step 5: Solve for x
    x = 2,602,749,796,416/734,386
  6. Step 6: Final answer
    x = 3,544,116.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.