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Finding the Third Proportional to 605,497 and 937,547

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Solution

The third proportional to 605,497 and 937,547 is: 1,451,690.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,497 : 937,547 = 937,547 : x
  2. Step 2: Convert to fraction form
    605,497/937,547 = 937,547/x
  3. Step 3: Cross multiply
    605,497x = 937,547 × 937,547
  4. Step 4: Simplify right side
    605,497x = 878,994,377,209
  5. Step 5: Solve for x
    x = 878,994,377,209/605,497
  6. Step 6: Final answer
    x = 1,451,690.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.