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Finding the Third Proportional to 435,520 and 937,784

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Solution

The third proportional to 435,520 and 937,784 is: 2,019,284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,520 : 937,784 = 937,784 : x
  2. Step 2: Convert to fraction form
    435,520/937,784 = 937,784/x
  3. Step 3: Cross multiply
    435,520x = 937,784 × 937,784
  4. Step 4: Simplify right side
    435,520x = 879,438,830,656
  5. Step 5: Solve for x
    x = 879,438,830,656/435,520
  6. Step 6: Final answer
    x = 2,019,284.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.