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Finding the Third Proportional to 426,070 and 932,318

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Solution

The third proportional to 426,070 and 932,318 is: 2,040,079.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,070 : 932,318 = 932,318 : x
  2. Step 2: Convert to fraction form
    426,070/932,318 = 932,318/x
  3. Step 3: Cross multiply
    426,070x = 932,318 × 932,318
  4. Step 4: Simplify right side
    426,070x = 869,216,853,124
  5. Step 5: Solve for x
    x = 869,216,853,124/426,070
  6. Step 6: Final answer
    x = 2,040,079.92

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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.