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Finding the Third Proportional to 468,386 and 913,444

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Solution

The third proportional to 468,386 and 913,444 is: 1,781,393.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,386 : 913,444 = 913,444 : x
  2. Step 2: Convert to fraction form
    468,386/913,444 = 913,444/x
  3. Step 3: Cross multiply
    468,386x = 913,444 × 913,444
  4. Step 4: Simplify right side
    468,386x = 834,379,941,136
  5. Step 5: Solve for x
    x = 834,379,941,136/468,386
  6. Step 6: Final answer
    x = 1,781,393.85

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.