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Finding the Third Proportional to 426,294.14 and 932,823.84

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Solution

The third proportional to 426,294.14 and 932,823.84 is: 2,041,220.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,294.14 : 932,823.84 = 932,823.84 : x
  2. Step 2: Convert to fraction form
    426,294.14/932,823.84 = 932,823.84/x
  3. Step 3: Cross multiply
    426,294.14x = 932,823.84 × 932,823.84
  4. Step 4: Simplify right side
    426,294.14x = 870,160,323,468.52
  5. Step 5: Solve for x
    x = 870,160,323,468.52/426,294.14
  6. Step 6: Final answer
    x = 2,041,220.46

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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.