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Finding the Third Proportional to 873,378 and 1,909,683

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Solution

The third proportional to 873,378 and 1,909,683 is: 4,175,613.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,378 : 1,909,683 = 1,909,683 : x
  2. Step 2: Convert to fraction form
    873,378/1,909,683 = 1,909,683/x
  3. Step 3: Cross multiply
    873,378x = 1,909,683 × 1,909,683
  4. Step 4: Simplify right side
    873,378x = 3,646,889,160,489
  5. Step 5: Solve for x
    x = 3,646,889,160,489/873,378
  6. Step 6: Final answer
    x = 4,175,613.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.