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Finding the Third Proportional to 841,238.16 and 1,834,733.53

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Solution

The third proportional to 841,238.16 and 1,834,733.53 is: 4,001,538.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,238.16 : 1,834,733.53 = 1,834,733.53 : x
  2. Step 2: Convert to fraction form
    841,238.16/1,834,733.53 = 1,834,733.53/x
  3. Step 3: Cross multiply
    841,238.16x = 1,834,733.53 × 1,834,733.53
  4. Step 4: Simplify right side
    841,238.16x = 3,366,247,130,693.10
  5. Step 5: Solve for x
    x = 3,366,247,130,693.10/841,238.16
  6. Step 6: Final answer
    x = 4,001,538.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.