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Finding the Third Proportional to 804,533 and 1,762,683

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Solution

The third proportional to 804,533 and 1,762,683 is: 3,861,931.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,533 : 1,762,683 = 1,762,683 : x
  2. Step 2: Convert to fraction form
    804,533/1,762,683 = 1,762,683/x
  3. Step 3: Cross multiply
    804,533x = 1,762,683 × 1,762,683
  4. Step 4: Simplify right side
    804,533x = 3,107,051,358,489
  5. Step 5: Solve for x
    x = 3,107,051,358,489/804,533
  6. Step 6: Final answer
    x = 3,861,931.53

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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.