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Finding the Third Proportional to 457,938 and 994,730

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Solution

The third proportional to 457,938 and 994,730 is: 2,160,746.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,938 : 994,730 = 994,730 : x
  2. Step 2: Convert to fraction form
    457,938/994,730 = 994,730/x
  3. Step 3: Cross multiply
    457,938x = 994,730 × 994,730
  4. Step 4: Simplify right side
    457,938x = 989,487,772,900
  5. Step 5: Solve for x
    x = 989,487,772,900/457,938
  6. Step 6: Final answer
    x = 2,160,746.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.