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Finding the Third Proportional to 427,342 and 934,066

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Solution

The third proportional to 427,342 and 934,066 is: 2,041,641.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,342 : 934,066 = 934,066 : x
  2. Step 2: Convert to fraction form
    427,342/934,066 = 934,066/x
  3. Step 3: Cross multiply
    427,342x = 934,066 × 934,066
  4. Step 4: Simplify right side
    427,342x = 872,479,292,356
  5. Step 5: Solve for x
    x = 872,479,292,356/427,342
  6. Step 6: Final answer
    x = 2,041,641.81

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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.