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Finding the Third Proportional to 1,307,464 and 2,821,477

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Solution

The third proportional to 1,307,464 and 2,821,477 is: 6,088,681.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307,464 : 2,821,477 = 2,821,477 : x
  2. Step 2: Convert to fraction form
    1,307,464/2,821,477 = 2,821,477/x
  3. Step 3: Cross multiply
    1,307,464x = 2,821,477 × 2,821,477
  4. Step 4: Simplify right side
    1,307,464x = 7,960,732,461,529
  5. Step 5: Solve for x
    x = 7,960,732,461,529/1,307,464
  6. Step 6: Final answer
    x = 6,088,681.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.