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Finding the Third Proportional to 680,640 and 1,001,304

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Solution

The third proportional to 680,640 and 1,001,304 is: 1,473,039.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,640 : 1,001,304 = 1,001,304 : x
  2. Step 2: Convert to fraction form
    680,640/1,001,304 = 1,001,304/x
  3. Step 3: Cross multiply
    680,640x = 1,001,304 × 1,001,304
  4. Step 4: Simplify right side
    680,640x = 1,002,609,700,416
  5. Step 5: Solve for x
    x = 1,002,609,700,416/680,640
  6. Step 6: Final answer
    x = 1,473,039.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.