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Finding the Third Proportional to 1,411,376 and 3,102,688

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Solution

The third proportional to 1,411,376 and 3,102,688 is: 6,820,771.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,376 : 3,102,688 = 3,102,688 : x
  2. Step 2: Convert to fraction form
    1,411,376/3,102,688 = 3,102,688/x
  3. Step 3: Cross multiply
    1,411,376x = 3,102,688 × 3,102,688
  4. Step 4: Simplify right side
    1,411,376x = 9,626,672,825,344
  5. Step 5: Solve for x
    x = 9,626,672,825,344/1,411,376
  6. Step 6: Final answer
    x = 6,820,771.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.