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Finding the Third Proportional to 584,792 and 1,215,552

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Solution

The third proportional to 584,792 and 1,215,552 is: 2,526,653.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,792 : 1,215,552 = 1,215,552 : x
  2. Step 2: Convert to fraction form
    584,792/1,215,552 = 1,215,552/x
  3. Step 3: Cross multiply
    584,792x = 1,215,552 × 1,215,552
  4. Step 4: Simplify right side
    584,792x = 1,477,566,664,704
  5. Step 5: Solve for x
    x = 1,477,566,664,704/584,792
  6. Step 6: Final answer
    x = 2,526,653.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.