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Finding the Third Proportional to 961,307 and 2,074,603

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Solution

The third proportional to 961,307 and 2,074,603 is: 4,477,214.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,307 : 2,074,603 = 2,074,603 : x
  2. Step 2: Convert to fraction form
    961,307/2,074,603 = 2,074,603/x
  3. Step 3: Cross multiply
    961,307x = 2,074,603 × 2,074,603
  4. Step 4: Simplify right side
    961,307x = 4,303,977,607,609
  5. Step 5: Solve for x
    x = 4,303,977,607,609/961,307
  6. Step 6: Final answer
    x = 4,477,214.47

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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.