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Finding the Third Proportional to 585,497 and 1,355,341

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Solution

The third proportional to 585,497 and 1,355,341 is: 3,137,418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,497 : 1,355,341 = 1,355,341 : x
  2. Step 2: Convert to fraction form
    585,497/1,355,341 = 1,355,341/x
  3. Step 3: Cross multiply
    585,497x = 1,355,341 × 1,355,341
  4. Step 4: Simplify right side
    585,497x = 1,836,949,226,281
  5. Step 5: Solve for x
    x = 1,836,949,226,281/585,497
  6. Step 6: Final answer
    x = 3,137,418.68

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.